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Finding the Fourth Proportional to 16,103.16, 24,151.50 and 4,414.86

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Solution

The fourth proportional to 16,103.16, 24,151.50 and 4,414.86 is: 6,621.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,103.16 : 24,151.50 = 4,414.86 : x
  2. Step 2: Convert to fraction form
    16,103.16/24,151.50 = 4,414.86/x
  3. Step 3: Cross multiply
    16,103.16x = 24,151.50 × 4,414.86
  4. Step 4: Simplify right side
    16,103.16x = 106,625,491.29
  5. Step 5: Solve for x
    x = 106,625,491.29/16,103.16
  6. Step 6: Final answer
    x = 6,621.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.