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Finding the Fourth Proportional to 16,382.79, 24,565.55 and 7,143.75

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Solution

The fourth proportional to 16,382.79, 24,565.55 and 7,143.75 is: 10,711.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382.79 : 24,565.55 = 7,143.75 : x
  2. Step 2: Convert to fraction form
    16,382.79/24,565.55 = 7,143.75/x
  3. Step 3: Cross multiply
    16,382.79x = 24,565.55 × 7,143.75
  4. Step 4: Simplify right side
    16,382.79x = 175,490,112.09
  5. Step 5: Solve for x
    x = 175,490,112.09/16,382.79
  6. Step 6: Final answer
    x = 10,711.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.