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Finding the Fourth Proportional to 24,753.63, 34,147.94 and 14,140.47

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Solution

The fourth proportional to 24,753.63, 34,147.94 and 14,140.47 is: 19,506.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,753.63 : 34,147.94 = 14,140.47 : x
  2. Step 2: Convert to fraction form
    24,753.63/34,147.94 = 14,140.47/x
  3. Step 3: Cross multiply
    24,753.63x = 34,147.94 × 14,140.47
  4. Step 4: Simplify right side
    24,753.63x = 482,867,850.43
  5. Step 5: Solve for x
    x = 482,867,850.43/24,753.63
  6. Step 6: Final answer
    x = 19,506.95

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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.