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Finding the Fourth Proportional to 23,687.58, 32,689.38 and 13,077.90

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Solution

The fourth proportional to 23,687.58, 32,689.38 and 13,077.90 is: 18,047.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,687.58 : 32,689.38 = 13,077.90 : x
  2. Step 2: Convert to fraction form
    23,687.58/32,689.38 = 13,077.90/x
  3. Step 3: Cross multiply
    23,687.58x = 32,689.38 × 13,077.90
  4. Step 4: Simplify right side
    23,687.58x = 427,508,442.70
  5. Step 5: Solve for x
    x = 427,508,442.70/23,687.58
  6. Step 6: Final answer
    x = 18,047.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.