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Finding the Fourth Proportional to 24,850.50, 34,294.32 and 13,520.64

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Solution

The fourth proportional to 24,850.50, 34,294.32 and 13,520.64 is: 18,658.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,850.50 : 34,294.32 = 13,520.64 : x
  2. Step 2: Convert to fraction form
    24,850.50/34,294.32 = 13,520.64/x
  3. Step 3: Cross multiply
    24,850.50x = 34,294.32 × 13,520.64
  4. Step 4: Simplify right side
    24,850.50x = 463,681,154.76
  5. Step 5: Solve for x
    x = 463,681,154.76/24,850.50
  6. Step 6: Final answer
    x = 18,658.83

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