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Finding the Fourth Proportional to 16,461.10, 24,691.65 and 4,149.10

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Solution

The fourth proportional to 16,461.10, 24,691.65 and 4,149.10 is: 6,223.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,461.10 : 24,691.65 = 4,149.10 : x
  2. Step 2: Convert to fraction form
    16,461.10/24,691.65 = 4,149.10/x
  3. Step 3: Cross multiply
    16,461.10x = 24,691.65 × 4,149.10
  4. Step 4: Simplify right side
    16,461.10x = 102,448,125.02
  5. Step 5: Solve for x
    x = 102,448,125.02/16,461.10
  6. Step 6: Final answer
    x = 6,223.65

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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.