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Finding the Fourth Proportional to 41,468, 62,211.72 and 13,766

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Solution

The fourth proportional to 41,468, 62,211.72 and 13,766 is: 20,652.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,468 : 62,211.72 = 13,766 : x
  2. Step 2: Convert to fraction form
    41,468/62,211.72 = 13,766/x
  3. Step 3: Cross multiply
    41,468x = 62,211.72 × 13,766
  4. Step 4: Simplify right side
    41,468x = 856,406,537.52
  5. Step 5: Solve for x
    x = 856,406,537.52/41,468
  6. Step 6: Final answer
    x = 20,652.23

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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.