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Finding the Fourth Proportional to 24,742.32, 34,146.76 and 14,132.76

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Solution

The fourth proportional to 24,742.32, 34,146.76 and 14,132.76 is: 19,504.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,742.32 : 34,146.76 = 14,132.76 : x
  2. Step 2: Convert to fraction form
    24,742.32/34,146.76 = 14,132.76/x
  3. Step 3: Cross multiply
    24,742.32x = 34,146.76 × 14,132.76
  4. Step 4: Simplify right side
    24,742.32x = 482,587,963.86
  5. Step 5: Solve for x
    x = 482,587,963.86/24,742.32
  6. Step 6: Final answer
    x = 19,504.56

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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.