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Finding the Fourth Proportional to 27,423.89, 41,137.37 and 7,700.91

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Solution

The fourth proportional to 27,423.89, 41,137.37 and 7,700.91 is: 11,551.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,423.89 : 41,137.37 = 7,700.91 : x
  2. Step 2: Convert to fraction form
    27,423.89/41,137.37 = 7,700.91/x
  3. Step 3: Cross multiply
    27,423.89x = 41,137.37 × 7,700.91
  4. Step 4: Simplify right side
    27,423.89x = 316,795,020.12
  5. Step 5: Solve for x
    x = 316,795,020.12/27,423.89
  6. Step 6: Final answer
    x = 11,551.79

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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.