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Finding the Fourth Proportional to 13,703.16, 20,553.22 and 3,842.83

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Solution

The fourth proportional to 13,703.16, 20,553.22 and 3,842.83 is: 5,763.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,703.16 : 20,553.22 = 3,842.83 : x
  2. Step 2: Convert to fraction form
    13,703.16/20,553.22 = 3,842.83/x
  3. Step 3: Cross multiply
    13,703.16x = 20,553.22 × 3,842.83
  4. Step 4: Simplify right side
    13,703.16x = 78,982,530.41
  5. Step 5: Solve for x
    x = 78,982,530.41/13,703.16
  6. Step 6: Final answer
    x = 5,763.82

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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.