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Finding the Fourth Proportional to 15,842.46, 21,861.75 and 9,469.20

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Solution

The fourth proportional to 15,842.46, 21,861.75 and 9,469.20 is: 13,066.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.46 : 21,861.75 = 9,469.20 : x
  2. Step 2: Convert to fraction form
    15,842.46/21,861.75 = 9,469.20/x
  3. Step 3: Cross multiply
    15,842.46x = 21,861.75 × 9,469.20
  4. Step 4: Simplify right side
    15,842.46x = 207,013,283.10
  5. Step 5: Solve for x
    x = 207,013,283.10/15,842.46
  6. Step 6: Final answer
    x = 13,066.99

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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.