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Finding the Fourth Proportional to 24,919.57, 34,389 and 13,741.57

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Solution

The fourth proportional to 24,919.57, 34,389 and 13,741.57 is: 18,963.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,919.57 : 34,389 = 13,741.57 : x
  2. Step 2: Convert to fraction form
    24,919.57/34,389 = 13,741.57/x
  3. Step 3: Cross multiply
    24,919.57x = 34,389 × 13,741.57
  4. Step 4: Simplify right side
    24,919.57x = 472,558,850.73
  5. Step 5: Solve for x
    x = 472,558,850.73/24,919.57
  6. Step 6: Final answer
    x = 18,963.36

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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.