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Finding the Fourth Proportional to 23,227.68, 32,048.82 and 13,153.86

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Solution

The fourth proportional to 23,227.68, 32,048.82 and 13,153.86 is: 18,149.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,227.68 : 32,048.82 = 13,153.86 : x
  2. Step 2: Convert to fraction form
    23,227.68/32,048.82 = 13,153.86/x
  3. Step 3: Cross multiply
    23,227.68x = 32,048.82 × 13,153.86
  4. Step 4: Simplify right side
    23,227.68x = 421,565,691.45
  5. Step 5: Solve for x
    x = 421,565,691.45/23,227.68
  6. Step 6: Final answer
    x = 18,149.28

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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.