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Finding the Fourth Proportional to 15,809.31, 21,819.17 and 9,842.85

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Solution

The fourth proportional to 15,809.31, 21,819.17 and 9,842.85 is: 13,584.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,809.31 : 21,819.17 = 9,842.85 : x
  2. Step 2: Convert to fraction form
    15,809.31/21,819.17 = 9,842.85/x
  3. Step 3: Cross multiply
    15,809.31x = 21,819.17 × 9,842.85
  4. Step 4: Simplify right side
    15,809.31x = 214,762,842.04
  5. Step 5: Solve for x
    x = 214,762,842.04/15,809.31
  6. Step 6: Final answer
    x = 13,584.58

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