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Finding the Fourth Proportional to 27,761.64, 41,642.40 and 8,040.18

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Solution

The fourth proportional to 27,761.64, 41,642.40 and 8,040.18 is: 12,060.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,761.64 : 41,642.40 = 8,040.18 : x
  2. Step 2: Convert to fraction form
    27,761.64/41,642.40 = 8,040.18/x
  3. Step 3: Cross multiply
    27,761.64x = 41,642.40 × 8,040.18
  4. Step 4: Simplify right side
    27,761.64x = 334,812,391.63
  5. Step 5: Solve for x
    x = 334,812,391.63/27,761.64
  6. Step 6: Final answer
    x = 12,060.25

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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.