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Finding the Fourth Proportional to 22,618.60, 31,213.82 and 12,546.84

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Solution

The fourth proportional to 22,618.60, 31,213.82 and 12,546.84 is: 17,314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,618.60 : 31,213.82 = 12,546.84 : x
  2. Step 2: Convert to fraction form
    22,618.60/31,213.82 = 12,546.84/x
  3. Step 3: Cross multiply
    22,618.60x = 31,213.82 × 12,546.84
  4. Step 4: Simplify right side
    22,618.60x = 391,634,805.33
  5. Step 5: Solve for x
    x = 391,634,805.33/22,618.60
  6. Step 6: Final answer
    x = 17,314.72

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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.