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Finding the Fourth Proportional to 17,690.06, 24,411.74 and 9,732.08

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Solution

The fourth proportional to 17,690.06, 24,411.74 and 9,732.08 is: 13,429.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,690.06 : 24,411.74 = 9,732.08 : x
  2. Step 2: Convert to fraction form
    17,690.06/24,411.74 = 9,732.08/x
  3. Step 3: Cross multiply
    17,690.06x = 24,411.74 × 9,732.08
  4. Step 4: Simplify right side
    17,690.06x = 237,577,006.62
  5. Step 5: Solve for x
    x = 237,577,006.62/17,690.06
  6. Step 6: Final answer
    x = 13,429.97

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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.