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Finding the Fourth Proportional to 16,404, 24,616.08 and 8,618.40

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Solution

The fourth proportional to 16,404, 24,616.08 and 8,618.40 is: 12,932.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,404 : 24,616.08 = 8,618.40 : x
  2. Step 2: Convert to fraction form
    16,404/24,616.08 = 8,618.40/x
  3. Step 3: Cross multiply
    16,404x = 24,616.08 × 8,618.40
  4. Step 4: Simplify right side
    16,404x = 212,151,223.87
  5. Step 5: Solve for x
    x = 212,151,223.87/16,404
  6. Step 6: Final answer
    x = 12,932.90

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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.