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Finding the Fourth Proportional to 24,917, 34,385.46 and 13,739.72

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Solution

The fourth proportional to 24,917, 34,385.46 and 13,739.72 is: 18,960.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,917 : 34,385.46 = 13,739.72 : x
  2. Step 2: Convert to fraction form
    24,917/34,385.46 = 13,739.72/x
  3. Step 3: Cross multiply
    24,917x = 34,385.46 × 13,739.72
  4. Step 4: Simplify right side
    24,917x = 472,446,592.47
  5. Step 5: Solve for x
    x = 472,446,592.47/24,917
  6. Step 6: Final answer
    x = 18,960.81

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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.