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Finding the Fourth Proportional to 23,687.88, 32,688.86 and 13,077.28

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Solution

The fourth proportional to 23,687.88, 32,688.86 and 13,077.28 is: 18,046.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,687.88 : 32,688.86 = 13,077.28 : x
  2. Step 2: Convert to fraction form
    23,687.88/32,688.86 = 13,077.28/x
  3. Step 3: Cross multiply
    23,687.88x = 32,688.86 × 13,077.28
  4. Step 4: Simplify right side
    23,687.88x = 427,481,375.10
  5. Step 5: Solve for x
    x = 427,481,375.10/23,687.88
  6. Step 6: Final answer
    x = 18,046.42

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1.5x scale

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.