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Finding the Fourth Proportional to 23,488.56, 32,414.20 and 12,877.97

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Solution

The fourth proportional to 23,488.56, 32,414.20 and 12,877.97 is: 17,771.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,488.56 : 32,414.20 = 12,877.97 : x
  2. Step 2: Convert to fraction form
    23,488.56/32,414.20 = 12,877.97/x
  3. Step 3: Cross multiply
    23,488.56x = 32,414.20 × 12,877.97
  4. Step 4: Simplify right side
    23,488.56x = 417,429,095.17
  5. Step 5: Solve for x
    x = 417,429,095.17/23,488.56
  6. Step 6: Final answer
    x = 17,771.59

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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.