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Finding the Fourth Proportional to 23,677.53, 32,686.82 and 14,727.91

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Solution

The fourth proportional to 23,677.53, 32,686.82 and 14,727.91 is: 20,331.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,677.53 : 32,686.82 = 14,727.91 : x
  2. Step 2: Convert to fraction form
    23,677.53/32,686.82 = 14,727.91/x
  3. Step 3: Cross multiply
    23,677.53x = 32,686.82 × 14,727.91
  4. Step 4: Simplify right side
    23,677.53x = 481,408,543.15
  5. Step 5: Solve for x
    x = 481,408,543.15/23,677.53
  6. Step 6: Final answer
    x = 20,331.87

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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.