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Finding the Fourth Proportional to 27,154.68, 40,736.82 and 9,634.68

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Solution

The fourth proportional to 27,154.68, 40,736.82 and 9,634.68 is: 14,453.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,154.68 : 40,736.82 = 9,634.68 : x
  2. Step 2: Convert to fraction form
    27,154.68/40,736.82 = 9,634.68/x
  3. Step 3: Cross multiply
    27,154.68x = 40,736.82 × 9,634.68
  4. Step 4: Simplify right side
    27,154.68x = 392,486,224.92
  5. Step 5: Solve for x
    x = 392,486,224.92/27,154.68
  6. Step 6: Final answer
    x = 14,453.72

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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.