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Finding the Fourth Proportional to 23,665.50, 32,658.66 and 16,505.91

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Solution

The fourth proportional to 23,665.50, 32,658.66 and 16,505.91 is: 22,778.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,665.50 : 32,658.66 = 16,505.91 : x
  2. Step 2: Convert to fraction form
    23,665.50/32,658.66 = 16,505.91/x
  3. Step 3: Cross multiply
    23,665.50x = 32,658.66 × 16,505.91
  4. Step 4: Simplify right side
    23,665.50x = 539,060,902.68
  5. Step 5: Solve for x
    x = 539,060,902.68/23,665.50
  6. Step 6: Final answer
    x = 22,778.34

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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.