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Finding the Fourth Proportional to 20,753.76, 31,098.24 and 11,385.84

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Solution

The fourth proportional to 20,753.76, 31,098.24 and 11,385.84 is: 17,060.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,753.76 : 31,098.24 = 11,385.84 : x
  2. Step 2: Convert to fraction form
    20,753.76/31,098.24 = 11,385.84/x
  3. Step 3: Cross multiply
    20,753.76x = 31,098.24 × 11,385.84
  4. Step 4: Simplify right side
    20,753.76x = 354,079,584.92
  5. Step 5: Solve for x
    x = 354,079,584.92/20,753.76
  6. Step 6: Final answer
    x = 17,060.98

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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.