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Finding the Fourth Proportional to 36,353.60, 54,538.56 and 12,980

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Solution

The fourth proportional to 36,353.60, 54,538.56 and 12,980 is: 19,472.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,353.60 : 54,538.56 = 12,980 : x
  2. Step 2: Convert to fraction form
    36,353.60/54,538.56 = 12,980/x
  3. Step 3: Cross multiply
    36,353.60x = 54,538.56 × 12,980
  4. Step 4: Simplify right side
    36,353.60x = 707,910,508.80
  5. Step 5: Solve for x
    x = 707,910,508.80/36,353.60
  6. Step 6: Final answer
    x = 19,472.91

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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.