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Finding the Fourth Proportional to 24,909.16, 34,373.64 and 13,578.40

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Solution

The fourth proportional to 24,909.16, 34,373.64 and 13,578.40 is: 18,737.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,909.16 : 34,373.64 = 13,578.40 : x
  2. Step 2: Convert to fraction form
    24,909.16/34,373.64 = 13,578.40/x
  3. Step 3: Cross multiply
    24,909.16x = 34,373.64 × 13,578.40
  4. Step 4: Simplify right side
    24,909.16x = 466,739,033.38
  5. Step 5: Solve for x
    x = 466,739,033.38/24,909.16
  6. Step 6: Final answer
    x = 18,737.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.