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Finding the Fourth Proportional to 23,687.31, 32,688.87 and 13,077

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Solution

The fourth proportional to 23,687.31, 32,688.87 and 13,077 is: 18,046.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,687.31 : 32,688.87 = 13,077 : x
  2. Step 2: Convert to fraction form
    23,687.31/32,688.87 = 13,077/x
  3. Step 3: Cross multiply
    23,687.31x = 32,688.87 × 13,077
  4. Step 4: Simplify right side
    23,687.31x = 427,472,352.99
  5. Step 5: Solve for x
    x = 427,472,352.99/23,687.31
  6. Step 6: Final answer
    x = 18,046.47

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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.