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Finding the Fourth Proportional to 16,382.25, 24,577.47 and 5,288.69

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Solution

The fourth proportional to 16,382.25, 24,577.47 and 5,288.69 is: 7,934.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382.25 : 24,577.47 = 5,288.69 : x
  2. Step 2: Convert to fraction form
    16,382.25/24,577.47 = 5,288.69/x
  3. Step 3: Cross multiply
    16,382.25x = 24,577.47 × 5,288.69
  4. Step 4: Simplify right side
    16,382.25x = 129,982,496.93
  5. Step 5: Solve for x
    x = 129,982,496.93/16,382.25
  6. Step 6: Final answer
    x = 7,934.35

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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.