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Finding the Fourth Proportional to 21,013.80, 31,520.70 and 16,348.20

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Solution

The fourth proportional to 21,013.80, 31,520.70 and 16,348.20 is: 24,522.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,013.80 : 31,520.70 = 16,348.20 : x
  2. Step 2: Convert to fraction form
    21,013.80/31,520.70 = 16,348.20/x
  3. Step 3: Cross multiply
    21,013.80x = 31,520.70 × 16,348.20
  4. Step 4: Simplify right side
    21,013.80x = 515,306,707.74
  5. Step 5: Solve for x
    x = 515,306,707.74/21,013.80
  6. Step 6: Final answer
    x = 24,522.30

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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.