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Finding the Fourth Proportional to 15,892.28, 23,842.31 and 7,339.73

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Solution

The fourth proportional to 15,892.28, 23,842.31 and 7,339.73 is: 11,011.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,892.28 : 23,842.31 = 7,339.73 : x
  2. Step 2: Convert to fraction form
    15,892.28/23,842.31 = 7,339.73/x
  3. Step 3: Cross multiply
    15,892.28x = 23,842.31 × 7,339.73
  4. Step 4: Simplify right side
    15,892.28x = 174,996,047.20
  5. Step 5: Solve for x
    x = 174,996,047.20/15,892.28
  6. Step 6: Final answer
    x = 11,011.39

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