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Finding the Fourth Proportional to 23,761.63, 32,785.48 and 16,223.66

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Solution

The fourth proportional to 23,761.63, 32,785.48 and 16,223.66 is: 22,384.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,761.63 : 32,785.48 = 16,223.66 : x
  2. Step 2: Convert to fraction form
    23,761.63/32,785.48 = 16,223.66/x
  3. Step 3: Cross multiply
    23,761.63x = 32,785.48 × 16,223.66
  4. Step 4: Simplify right side
    23,761.63x = 531,900,480.46
  5. Step 5: Solve for x
    x = 531,900,480.46/23,761.63
  6. Step 6: Final answer
    x = 22,384.85

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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.