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Finding the Fourth Proportional to 13,942.30, 20,909.01 and 4,580.15

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Solution

The fourth proportional to 13,942.30, 20,909.01 and 4,580.15 is: 6,868.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,942.30 : 20,909.01 = 4,580.15 : x
  2. Step 2: Convert to fraction form
    13,942.30/20,909.01 = 4,580.15/x
  3. Step 3: Cross multiply
    13,942.30x = 20,909.01 × 4,580.15
  4. Step 4: Simplify right side
    13,942.30x = 95,766,297.61
  5. Step 5: Solve for x
    x = 95,766,297.61/13,942.30
  6. Step 6: Final answer
    x = 6,868.76

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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.