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Finding the Fourth Proportional to 29,514.86, 44,248.16 and 13,729.73

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Solution

The fourth proportional to 29,514.86, 44,248.16 and 13,729.73 is: 20,583.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,514.86 : 44,248.16 = 13,729.73 : x
  2. Step 2: Convert to fraction form
    29,514.86/44,248.16 = 13,729.73/x
  3. Step 3: Cross multiply
    29,514.86x = 44,248.16 × 13,729.73
  4. Step 4: Simplify right side
    29,514.86x = 607,514,999.91
  5. Step 5: Solve for x
    x = 607,514,999.91/29,514.86
  6. Step 6: Final answer
    x = 20,583.36

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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.