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Finding the Fourth Proportional to 10,549.20, 15,814.47 and 8,999.16

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Solution

The fourth proportional to 10,549.20, 15,814.47 and 8,999.16 is: 13,490.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.20 : 15,814.47 = 8,999.16 : x
  2. Step 2: Convert to fraction form
    10,549.20/15,814.47 = 8,999.16/x
  3. Step 3: Cross multiply
    10,549.20x = 15,814.47 × 8,999.16
  4. Step 4: Simplify right side
    10,549.20x = 142,316,945.85
  5. Step 5: Solve for x
    x = 142,316,945.85/10,549.20
  6. Step 6: Final answer
    x = 13,490.78

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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.