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Finding the Fourth Proportional to 17,687.06, 24,407.64 and 9,729.28

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Solution

The fourth proportional to 17,687.06, 24,407.64 and 9,729.28 is: 13,426.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,687.06 : 24,407.64 = 9,729.28 : x
  2. Step 2: Convert to fraction form
    17,687.06/24,407.64 = 9,729.28/x
  3. Step 3: Cross multiply
    17,687.06x = 24,407.64 × 9,729.28
  4. Step 4: Simplify right side
    17,687.06x = 237,468,859.38
  5. Step 5: Solve for x
    x = 237,468,859.38/17,687.06
  6. Step 6: Final answer
    x = 13,426.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.