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Finding the Fourth Proportional to 24,780.92, 34,197.90 and 13,450.40

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Solution

The fourth proportional to 24,780.92, 34,197.90 and 13,450.40 is: 18,561.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,780.92 : 34,197.90 = 13,450.40 : x
  2. Step 2: Convert to fraction form
    24,780.92/34,197.90 = 13,450.40/x
  3. Step 3: Cross multiply
    24,780.92x = 34,197.90 × 13,450.40
  4. Step 4: Simplify right side
    24,780.92x = 459,975,434.16
  5. Step 5: Solve for x
    x = 459,975,434.16/24,780.92
  6. Step 6: Final answer
    x = 18,561.68

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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.