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Finding the Fourth Proportional to 15,046, 22,562.16 and 8,807.59

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Solution

The fourth proportional to 15,046, 22,562.16 and 8,807.59 is: 13,207.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,046 : 22,562.16 = 8,807.59 : x
  2. Step 2: Convert to fraction form
    15,046/22,562.16 = 8,807.59/x
  3. Step 3: Cross multiply
    15,046x = 22,562.16 × 8,807.59
  4. Step 4: Simplify right side
    15,046x = 198,718,254.79
  5. Step 5: Solve for x
    x = 198,718,254.79/15,046
  6. Step 6: Final answer
    x = 13,207.38

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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.