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Finding the Fourth Proportional to 11,502.14, 17,169.27 and 9,869.18

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Solution

The fourth proportional to 11,502.14, 17,169.27 and 9,869.18 is: 14,731.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.14 : 17,169.27 = 9,869.18 : x
  2. Step 2: Convert to fraction form
    11,502.14/17,169.27 = 9,869.18/x
  3. Step 3: Cross multiply
    11,502.14x = 17,169.27 × 9,869.18
  4. Step 4: Simplify right side
    11,502.14x = 169,446,566.75
  5. Step 5: Solve for x
    x = 169,446,566.75/11,502.14
  6. Step 6: Final answer
    x = 14,731.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.