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Finding the Fourth Proportional to 20,963.64, 31,348.24 and 16,230

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Solution

The fourth proportional to 20,963.64, 31,348.24 and 16,230 is: 24,269.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,963.64 : 31,348.24 = 16,230 : x
  2. Step 2: Convert to fraction form
    20,963.64/31,348.24 = 16,230/x
  3. Step 3: Cross multiply
    20,963.64x = 31,348.24 × 16,230
  4. Step 4: Simplify right side
    20,963.64x = 508,781,935.20
  5. Step 5: Solve for x
    x = 508,781,935.20/20,963.64
  6. Step 6: Final answer
    x = 24,269.73

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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.