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Finding the Fourth Proportional to 31,020.80, 42,807.84 and 16,874.24

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Solution

The fourth proportional to 31,020.80, 42,807.84 and 16,874.24 is: 23,285.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,020.80 : 42,807.84 = 16,874.24 : x
  2. Step 2: Convert to fraction form
    31,020.80/42,807.84 = 16,874.24/x
  3. Step 3: Cross multiply
    31,020.80x = 42,807.84 × 16,874.24
  4. Step 4: Simplify right side
    31,020.80x = 722,349,766.04
  5. Step 5: Solve for x
    x = 722,349,766.04/31,020.80
  6. Step 6: Final answer
    x = 23,285.98

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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.