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Finding the Fourth Proportional to 17,432.65, 24,056.29 and 9,878.56

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Solution

The fourth proportional to 17,432.65, 24,056.29 and 9,878.56 is: 13,631.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,432.65 : 24,056.29 = 9,878.56 : x
  2. Step 2: Convert to fraction form
    17,432.65/24,056.29 = 9,878.56/x
  3. Step 3: Cross multiply
    17,432.65x = 24,056.29 × 9,878.56
  4. Step 4: Simplify right side
    17,432.65x = 237,641,456.35
  5. Step 5: Solve for x
    x = 237,641,456.35/17,432.65
  6. Step 6: Final answer
    x = 13,631.97

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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.