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Finding the Fourth Proportional to 27,428.05, 41,109 and 12,616.66

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Solution

The fourth proportional to 27,428.05, 41,109 and 12,616.66 is: 18,909.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,428.05 : 41,109 = 12,616.66 : x
  2. Step 2: Convert to fraction form
    27,428.05/41,109 = 12,616.66/x
  3. Step 3: Cross multiply
    27,428.05x = 41,109 × 12,616.66
  4. Step 4: Simplify right side
    27,428.05x = 518,658,275.94
  5. Step 5: Solve for x
    x = 518,658,275.94/27,428.05
  6. Step 6: Final answer
    x = 18,909.78

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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.