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Finding the Fourth Proportional to 27,681.36, 41,521.82 and 7,959.84

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Solution

The fourth proportional to 27,681.36, 41,521.82 and 7,959.84 is: 11,939.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,681.36 : 41,521.82 = 7,959.84 : x
  2. Step 2: Convert to fraction form
    27,681.36/41,521.82 = 7,959.84/x
  3. Step 3: Cross multiply
    27,681.36x = 41,521.82 × 7,959.84
  4. Step 4: Simplify right side
    27,681.36x = 330,507,003.91
  5. Step 5: Solve for x
    x = 330,507,003.91/27,681.36
  6. Step 6: Final answer
    x = 11,939.70

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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.