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Finding the Fourth Proportional to 16,377.39, 24,562.44 and 6,514.02

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Solution

The fourth proportional to 16,377.39, 24,562.44 and 6,514.02 is: 9,769.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,377.39 : 24,562.44 = 6,514.02 : x
  2. Step 2: Convert to fraction form
    16,377.39/24,562.44 = 6,514.02/x
  3. Step 3: Cross multiply
    16,377.39x = 24,562.44 × 6,514.02
  4. Step 4: Simplify right side
    16,377.39x = 160,000,225.41
  5. Step 5: Solve for x
    x = 160,000,225.41/16,377.39
  6. Step 6: Final answer
    x = 9,769.58

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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.