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Finding the Fourth Proportional to 16,382.92, 24,559.62 and 6,520

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Solution

The fourth proportional to 16,382.92, 24,559.62 and 6,520 is: 9,774.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382.92 : 24,559.62 = 6,520 : x
  2. Step 2: Convert to fraction form
    16,382.92/24,559.62 = 6,520/x
  3. Step 3: Cross multiply
    16,382.92x = 24,559.62 × 6,520
  4. Step 4: Simplify right side
    16,382.92x = 160,128,722.40
  5. Step 5: Solve for x
    x = 160,128,722.40/16,382.92
  6. Step 6: Final answer
    x = 9,774.13

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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.