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Finding the Fourth Proportional to 27,649.67, 41,451.01 and 12,867.17

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Solution

The fourth proportional to 27,649.67, 41,451.01 and 12,867.17 is: 19,289.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,649.67 : 41,451.01 = 12,867.17 : x
  2. Step 2: Convert to fraction form
    27,649.67/41,451.01 = 12,867.17/x
  3. Step 3: Cross multiply
    27,649.67x = 41,451.01 × 12,867.17
  4. Step 4: Simplify right side
    27,649.67x = 533,356,952.92
  5. Step 5: Solve for x
    x = 533,356,952.92/27,649.67
  6. Step 6: Final answer
    x = 19,289.82

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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.