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Finding the Fourth Proportional to 22,910.78, 31,618.82 and 12,839.10

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Solution

The fourth proportional to 22,910.78, 31,618.82 and 12,839.10 is: 17,719.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,910.78 : 31,618.82 = 12,839.10 : x
  2. Step 2: Convert to fraction form
    22,910.78/31,618.82 = 12,839.10/x
  3. Step 3: Cross multiply
    22,910.78x = 31,618.82 × 12,839.10
  4. Step 4: Simplify right side
    22,910.78x = 405,957,191.86
  5. Step 5: Solve for x
    x = 405,957,191.86/22,910.78
  6. Step 6: Final answer
    x = 17,719.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.