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Finding the Fourth Proportional to 20,876.80, 31,315.20 and 7,035.52

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Solution

The fourth proportional to 20,876.80, 31,315.20 and 7,035.52 is: 10,553.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,876.80 : 31,315.20 = 7,035.52 : x
  2. Step 2: Convert to fraction form
    20,876.80/31,315.20 = 7,035.52/x
  3. Step 3: Cross multiply
    20,876.80x = 31,315.20 × 7,035.52
  4. Step 4: Simplify right side
    20,876.80x = 220,318,715.90
  5. Step 5: Solve for x
    x = 220,318,715.90/20,876.80
  6. Step 6: Final answer
    x = 10,553.28

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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.