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Finding the Fourth Proportional to 27,665.74, 41,485.62 and 10,123.30

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Solution

The fourth proportional to 27,665.74, 41,485.62 and 10,123.30 is: 15,180.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,665.74 : 41,485.62 = 10,123.30 : x
  2. Step 2: Convert to fraction form
    27,665.74/41,485.62 = 10,123.30/x
  3. Step 3: Cross multiply
    27,665.74x = 41,485.62 × 10,123.30
  4. Step 4: Simplify right side
    27,665.74x = 419,971,376.95
  5. Step 5: Solve for x
    x = 419,971,376.95/27,665.74
  6. Step 6: Final answer
    x = 15,180.20

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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.