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Finding the Fourth Proportional to 29,214.42, 43,806.63 and 13,405.85

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Solution

The fourth proportional to 29,214.42, 43,806.63 and 13,405.85 is: 20,101.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,214.42 : 43,806.63 = 13,405.85 : x
  2. Step 2: Convert to fraction form
    29,214.42/43,806.63 = 13,405.85/x
  3. Step 3: Cross multiply
    29,214.42x = 43,806.63 × 13,405.85
  4. Step 4: Simplify right side
    29,214.42x = 587,264,841.48
  5. Step 5: Solve for x
    x = 587,264,841.48/29,214.42
  6. Step 6: Final answer
    x = 20,101.88

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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.