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Finding the Fourth Proportional to 21,785.13, 32,614.22 and 16,187.61

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Solution

The fourth proportional to 21,785.13, 32,614.22 and 16,187.61 is: 24,234.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,785.13 : 32,614.22 = 16,187.61 : x
  2. Step 2: Convert to fraction form
    21,785.13/32,614.22 = 16,187.61/x
  3. Step 3: Cross multiply
    21,785.13x = 32,614.22 × 16,187.61
  4. Step 4: Simplify right side
    21,785.13x = 527,946,192.88
  5. Step 5: Solve for x
    x = 527,946,192.88/21,785.13
  6. Step 6: Final answer
    x = 24,234.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.