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Finding the Fourth Proportional to 15,842.72, 21,859.27 and 9,471.38

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Solution

The fourth proportional to 15,842.72, 21,859.27 and 9,471.38 is: 13,068.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.72 : 21,859.27 = 9,471.38 : x
  2. Step 2: Convert to fraction form
    15,842.72/21,859.27 = 9,471.38/x
  3. Step 3: Cross multiply
    15,842.72x = 21,859.27 × 9,471.38
  4. Step 4: Simplify right side
    15,842.72x = 207,037,319.72
  5. Step 5: Solve for x
    x = 207,037,319.72/15,842.72
  6. Step 6: Final answer
    x = 13,068.29

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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.