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Finding the Fourth Proportional to 10,583,507.68, 15,854,002.08 and 8,957,298.22

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Solution

The fourth proportional to 10,583,507.68, 15,854,002.08 and 8,957,298.22 is: 13,417,954.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583,507.68 : 15,854,002.08 = 8,957,298.22 : x
  2. Step 2: Convert to fraction form
    10,583,507.68/15,854,002.08 = 8,957,298.22/x
  3. Step 3: Cross multiply
    10,583,507.68x = 15,854,002.08 × 8,957,298.22
  4. Step 4: Simplify right side
    10,583,507.68x = 142,009,024,611,060.31
  5. Step 5: Solve for x
    x = 142,009,024,611,060.31/10,583,507.68
  6. Step 6: Final answer
    x = 13,417,954.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.