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Finding the Fourth Proportional to 15,388.01, 21,235.38 and 8,314.41

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Solution

The fourth proportional to 15,388.01, 21,235.38 and 8,314.41 is: 11,473.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,388.01 : 21,235.38 = 8,314.41 : x
  2. Step 2: Convert to fraction form
    15,388.01/21,235.38 = 8,314.41/x
  3. Step 3: Cross multiply
    15,388.01x = 21,235.38 × 8,314.41
  4. Step 4: Simplify right side
    15,388.01x = 176,559,655.83
  5. Step 5: Solve for x
    x = 176,559,655.83/15,388.01
  6. Step 6: Final answer
    x = 11,473.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.