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Finding the Fourth Proportional to 23,755.74, 32,780.88 and 13,142.76

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Solution

The fourth proportional to 23,755.74, 32,780.88 and 13,142.76 is: 18,135.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,755.74 : 32,780.88 = 13,142.76 : x
  2. Step 2: Convert to fraction form
    23,755.74/32,780.88 = 13,142.76/x
  3. Step 3: Cross multiply
    23,755.74x = 32,780.88 × 13,142.76
  4. Step 4: Simplify right side
    23,755.74x = 430,831,238.43
  5. Step 5: Solve for x
    x = 430,831,238.43/23,755.74
  6. Step 6: Final answer
    x = 18,135.88

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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.