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Finding the Fourth Proportional to 17,689.19, 24,410.69 and 9,731.24

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Solution

The fourth proportional to 17,689.19, 24,410.69 and 9,731.24 is: 13,428.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,689.19 : 24,410.69 = 9,731.24 : x
  2. Step 2: Convert to fraction form
    17,689.19/24,410.69 = 9,731.24/x
  3. Step 3: Cross multiply
    17,689.19x = 24,410.69 × 9,731.24
  4. Step 4: Simplify right side
    17,689.19x = 237,546,234.30
  5. Step 5: Solve for x
    x = 237,546,234.30/17,689.19
  6. Step 6: Final answer
    x = 13,428.89

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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.