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Finding the Fourth Proportional to 22,471.70, 31,020.88 and 14,517.80

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Solution

The fourth proportional to 22,471.70, 31,020.88 and 14,517.80 is: 20,040.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471.70 : 31,020.88 = 14,517.80 : x
  2. Step 2: Convert to fraction form
    22,471.70/31,020.88 = 14,517.80/x
  3. Step 3: Cross multiply
    22,471.70x = 31,020.88 × 14,517.80
  4. Step 4: Simplify right side
    22,471.70x = 450,354,931.66
  5. Step 5: Solve for x
    x = 450,354,931.66/22,471.70
  6. Step 6: Final answer
    x = 20,040.98

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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.