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Finding the Fourth Proportional to 29,682.34, 44,524.08 and 13,878.65

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Solution

The fourth proportional to 29,682.34, 44,524.08 and 13,878.65 is: 20,818.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,682.34 : 44,524.08 = 13,878.65 : x
  2. Step 2: Convert to fraction form
    29,682.34/44,524.08 = 13,878.65/x
  3. Step 3: Cross multiply
    29,682.34x = 44,524.08 × 13,878.65
  4. Step 4: Simplify right side
    29,682.34x = 617,934,234.20
  5. Step 5: Solve for x
    x = 617,934,234.20/29,682.34
  6. Step 6: Final answer
    x = 20,818.25

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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.