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Finding the Fourth Proportional to 27,138.16, 40,892.10 and 22,315.83

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Solution

The fourth proportional to 27,138.16, 40,892.10 and 22,315.83 is: 33,625.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,138.16 : 40,892.10 = 22,315.83 : x
  2. Step 2: Convert to fraction form
    27,138.16/40,892.10 = 22,315.83/x
  3. Step 3: Cross multiply
    27,138.16x = 40,892.10 × 22,315.83
  4. Step 4: Simplify right side
    27,138.16x = 912,541,151.94
  5. Step 5: Solve for x
    x = 912,541,151.94/27,138.16
  6. Step 6: Final answer
    x = 33,625.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.