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Finding the Fourth Proportional to 13,462.74, 20,182.77 and 6,438.78

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Solution

The fourth proportional to 13,462.74, 20,182.77 and 6,438.78 is: 9,652.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462.74 : 20,182.77 = 6,438.78 : x
  2. Step 2: Convert to fraction form
    13,462.74/20,182.77 = 6,438.78/x
  3. Step 3: Cross multiply
    13,462.74x = 20,182.77 × 6,438.78
  4. Step 4: Simplify right side
    13,462.74x = 129,952,415.82
  5. Step 5: Solve for x
    x = 129,952,415.82/13,462.74
  6. Step 6: Final answer
    x = 9,652.75

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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.