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Finding the Fourth Proportional to 17,690.20, 24,411.86 and 9,732.34

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Solution

The fourth proportional to 17,690.20, 24,411.86 and 9,732.34 is: 13,430.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,690.20 : 24,411.86 = 9,732.34 : x
  2. Step 2: Convert to fraction form
    17,690.20/24,411.86 = 9,732.34/x
  3. Step 3: Cross multiply
    17,690.20x = 24,411.86 × 9,732.34
  4. Step 4: Simplify right side
    17,690.20x = 237,584,521.55
  5. Step 5: Solve for x
    x = 237,584,521.55/17,690.20
  6. Step 6: Final answer
    x = 13,430.29

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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.