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Finding the Fourth Proportional to 27,358.48, 41,037.72 and 9,824.14

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Solution

The fourth proportional to 27,358.48, 41,037.72 and 9,824.14 is: 14,736.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,358.48 : 41,037.72 = 9,824.14 : x
  2. Step 2: Convert to fraction form
    27,358.48/41,037.72 = 9,824.14/x
  3. Step 3: Cross multiply
    27,358.48x = 41,037.72 × 9,824.14
  4. Step 4: Simplify right side
    27,358.48x = 403,160,306.56
  5. Step 5: Solve for x
    x = 403,160,306.56/27,358.48
  6. Step 6: Final answer
    x = 14,736.21

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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.