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Finding the Fourth Proportional to 27,807.72, 41,712.08 and 9,087.80

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Solution

The fourth proportional to 27,807.72, 41,712.08 and 9,087.80 is: 13,631.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,807.72 : 41,712.08 = 9,087.80 : x
  2. Step 2: Convert to fraction form
    27,807.72/41,712.08 = 9,087.80/x
  3. Step 3: Cross multiply
    27,807.72x = 41,712.08 × 9,087.80
  4. Step 4: Simplify right side
    27,807.72x = 379,071,040.62
  5. Step 5: Solve for x
    x = 379,071,040.62/27,807.72
  6. Step 6: Final answer
    x = 13,631.86

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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.