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Finding the Fourth Proportional to 29,446.02, 44,176.32 and 13,860

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Solution

The fourth proportional to 29,446.02, 44,176.32 and 13,860 is: 20,793.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,446.02 : 44,176.32 = 13,860 : x
  2. Step 2: Convert to fraction form
    29,446.02/44,176.32 = 13,860/x
  3. Step 3: Cross multiply
    29,446.02x = 44,176.32 × 13,860
  4. Step 4: Simplify right side
    29,446.02x = 612,283,795.20
  5. Step 5: Solve for x
    x = 612,283,795.20/29,446.02
  6. Step 6: Final answer
    x = 20,793.43

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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.