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Finding the Fourth Proportional to 22,034.75, 30,407.96 and 12,098.75

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Solution

The fourth proportional to 22,034.75, 30,407.96 and 12,098.75 is: 16,696.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,034.75 : 30,407.96 = 12,098.75 : x
  2. Step 2: Convert to fraction form
    22,034.75/30,407.96 = 12,098.75/x
  3. Step 3: Cross multiply
    22,034.75x = 30,407.96 × 12,098.75
  4. Step 4: Simplify right side
    22,034.75x = 367,898,306.05
  5. Step 5: Solve for x
    x = 367,898,306.05/22,034.75
  6. Step 6: Final answer
    x = 16,696.28

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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.