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Finding the Fourth Proportional to 16,468.11, 24,704.90 and 8,148.40

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Solution

The fourth proportional to 16,468.11, 24,704.90 and 8,148.40 is: 12,223.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,468.11 : 24,704.90 = 8,148.40 : x
  2. Step 2: Convert to fraction form
    16,468.11/24,704.90 = 8,148.40/x
  3. Step 3: Cross multiply
    16,468.11x = 24,704.90 × 8,148.40
  4. Step 4: Simplify right side
    16,468.11x = 201,305,335.21
  5. Step 5: Solve for x
    x = 201,305,335.21/16,468.11
  6. Step 6: Final answer
    x = 12,223.95

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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.