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Finding the Fourth Proportional to 27,415.54, 41,118.62 and 9,882.82

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Solution

The fourth proportional to 27,415.54, 41,118.62 and 9,882.82 is: 14,822.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,415.54 : 41,118.62 = 9,882.82 : x
  2. Step 2: Convert to fraction form
    27,415.54/41,118.62 = 9,882.82/x
  3. Step 3: Cross multiply
    27,415.54x = 41,118.62 × 9,882.82
  4. Step 4: Simplify right side
    27,415.54x = 406,367,920.11
  5. Step 5: Solve for x
    x = 406,367,920.11/27,415.54
  6. Step 6: Final answer
    x = 14,822.54

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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.