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Finding the Fourth Proportional to 16,514.20, 24,752.64 and 8,200.15

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Solution

The fourth proportional to 16,514.20, 24,752.64 and 8,200.15 is: 12,290.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,514.20 : 24,752.64 = 8,200.15 : x
  2. Step 2: Convert to fraction form
    16,514.20/24,752.64 = 8,200.15/x
  3. Step 3: Cross multiply
    16,514.20x = 24,752.64 × 8,200.15
  4. Step 4: Simplify right side
    16,514.20x = 202,975,360.90
  5. Step 5: Solve for x
    x = 202,975,360.90/16,514.20
  6. Step 6: Final answer
    x = 12,290.96

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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.