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Finding the Fourth Proportional to 17,686.49, 24,407.78 and 9,728.91

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Solution

The fourth proportional to 17,686.49, 24,407.78 and 9,728.91 is: 13,426.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,686.49 : 24,407.78 = 9,728.91 : x
  2. Step 2: Convert to fraction form
    17,686.49/24,407.78 = 9,728.91/x
  3. Step 3: Cross multiply
    17,686.49x = 24,407.78 × 9,728.91
  4. Step 4: Simplify right side
    17,686.49x = 237,461,046.28
  5. Step 5: Solve for x
    x = 237,461,046.28/17,686.49
  6. Step 6: Final answer
    x = 13,426.13

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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.