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Finding the Fourth Proportional to 27,193.76, 40,780.39 and 13,149.12

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Solution

The fourth proportional to 27,193.76, 40,780.39 and 13,149.12 is: 19,718.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,193.76 : 40,780.39 = 13,149.12 : x
  2. Step 2: Convert to fraction form
    27,193.76/40,780.39 = 13,149.12/x
  3. Step 3: Cross multiply
    27,193.76x = 40,780.39 × 13,149.12
  4. Step 4: Simplify right side
    27,193.76x = 536,226,241.76
  5. Step 5: Solve for x
    x = 536,226,241.76/27,193.76
  6. Step 6: Final answer
    x = 19,718.72

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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.