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Finding the Fourth Proportional to 29,140.60, 43,676.88 and 13,540

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Solution

The fourth proportional to 29,140.60, 43,676.88 and 13,540 is: 20,294.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,140.60 : 43,676.88 = 13,540 : x
  2. Step 2: Convert to fraction form
    29,140.60/43,676.88 = 13,540/x
  3. Step 3: Cross multiply
    29,140.60x = 43,676.88 × 13,540
  4. Step 4: Simplify right side
    29,140.60x = 591,384,955.20
  5. Step 5: Solve for x
    x = 591,384,955.20/29,140.60
  6. Step 6: Final answer
    x = 20,294.19

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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.