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Finding the Fourth Proportional to 20,737.29, 31,110.80 and 9,053.85

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Solution

The fourth proportional to 20,737.29, 31,110.80 and 9,053.85 is: 13,582.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,737.29 : 31,110.80 = 9,053.85 : x
  2. Step 2: Convert to fraction form
    20,737.29/31,110.80 = 9,053.85/x
  3. Step 3: Cross multiply
    20,737.29x = 31,110.80 × 9,053.85
  4. Step 4: Simplify right side
    20,737.29x = 281,672,471.31
  5. Step 5: Solve for x
    x = 281,672,471.31/20,737.29
  6. Step 6: Final answer
    x = 13,582.90

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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.