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Finding the Fourth Proportional to 10,515.50, 14,502.24 and 9,098.73

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Solution

The fourth proportional to 10,515.50, 14,502.24 and 9,098.73 is: 12,548.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515.50 : 14,502.24 = 9,098.73 : x
  2. Step 2: Convert to fraction form
    10,515.50/14,502.24 = 9,098.73/x
  3. Step 3: Cross multiply
    10,515.50x = 14,502.24 × 9,098.73
  4. Step 4: Simplify right side
    10,515.50x = 131,951,966.16
  5. Step 5: Solve for x
    x = 131,951,966.16/10,515.50
  6. Step 6: Final answer
    x = 12,548.34

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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.