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Finding the Fourth Proportional to 24,869.40, 34,319.42 and 13,691.40

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Solution

The fourth proportional to 24,869.40, 34,319.42 and 13,691.40 is: 18,893.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,869.40 : 34,319.42 = 13,691.40 : x
  2. Step 2: Convert to fraction form
    24,869.40/34,319.42 = 13,691.40/x
  3. Step 3: Cross multiply
    24,869.40x = 34,319.42 × 13,691.40
  4. Step 4: Simplify right side
    24,869.40x = 469,880,906.99
  5. Step 5: Solve for x
    x = 469,880,906.99/24,869.40
  6. Step 6: Final answer
    x = 18,893.94

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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.