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Finding the Fourth Proportional to 27,423.84, 41,132.55 and 7,704.09

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Solution

The fourth proportional to 27,423.84, 41,132.55 and 7,704.09 is: 11,555.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,423.84 : 41,132.55 = 7,704.09 : x
  2. Step 2: Convert to fraction form
    27,423.84/41,132.55 = 7,704.09/x
  3. Step 3: Cross multiply
    27,423.84x = 41,132.55 × 7,704.09
  4. Step 4: Simplify right side
    27,423.84x = 316,888,867.13
  5. Step 5: Solve for x
    x = 316,888,867.13/27,423.84
  6. Step 6: Final answer
    x = 11,555.23

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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.