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Finding the Fourth Proportional to 17,689.40, 24,411.50 and 9,731.42

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Solution

The fourth proportional to 17,689.40, 24,411.50 and 9,731.42 is: 13,429.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,689.40 : 24,411.50 = 9,731.42 : x
  2. Step 2: Convert to fraction form
    17,689.40/24,411.50 = 9,731.42/x
  3. Step 3: Cross multiply
    17,689.40x = 24,411.50 × 9,731.42
  4. Step 4: Simplify right side
    17,689.40x = 237,558,559.33
  5. Step 5: Solve for x
    x = 237,558,559.33/17,689.40
  6. Step 6: Final answer
    x = 13,429.43

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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.