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Finding the Fourth Proportional to 27,586.78, 41,382.90 and 10,052.51

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Solution

The fourth proportional to 27,586.78, 41,382.90 and 10,052.51 is: 15,079.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,586.78 : 41,382.90 = 10,052.51 : x
  2. Step 2: Convert to fraction form
    27,586.78/41,382.90 = 10,052.51/x
  3. Step 3: Cross multiply
    27,586.78x = 41,382.90 × 10,052.51
  4. Step 4: Simplify right side
    27,586.78x = 416,001,809.16
  5. Step 5: Solve for x
    x = 416,001,809.16/27,586.78
  6. Step 6: Final answer
    x = 15,079.75

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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.