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Finding the Fourth Proportional to 22,275.09, 30,740.13 and 12,204

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Solution

The fourth proportional to 22,275.09, 30,740.13 and 12,204 is: 16,841.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,275.09 : 30,740.13 = 12,204 : x
  2. Step 2: Convert to fraction form
    22,275.09/30,740.13 = 12,204/x
  3. Step 3: Cross multiply
    22,275.09x = 30,740.13 × 12,204
  4. Step 4: Simplify right side
    22,275.09x = 375,152,546.52
  5. Step 5: Solve for x
    x = 375,152,546.52/22,275.09
  6. Step 6: Final answer
    x = 16,841.80

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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.