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Finding the Fourth Proportional to 17,689.40, 24,411.11 and 9,731.15

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Solution

The fourth proportional to 17,689.40, 24,411.11 and 9,731.15 is: 13,428.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,689.40 : 24,411.11 = 9,731.15 : x
  2. Step 2: Convert to fraction form
    17,689.40/24,411.11 = 9,731.15/x
  3. Step 3: Cross multiply
    17,689.40x = 24,411.11 × 9,731.15
  4. Step 4: Simplify right side
    17,689.40x = 237,548,002.37
  5. Step 5: Solve for x
    x = 237,548,002.37/17,689.40
  6. Step 6: Final answer
    x = 13,428.84

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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.