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Finding the Fourth Proportional to 22,286.20, 30,755.04 and 12,854.80

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Solution

The fourth proportional to 22,286.20, 30,755.04 and 12,854.80 is: 17,739.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,286.20 : 30,755.04 = 12,854.80 : x
  2. Step 2: Convert to fraction form
    22,286.20/30,755.04 = 12,854.80/x
  3. Step 3: Cross multiply
    22,286.20x = 30,755.04 × 12,854.80
  4. Step 4: Simplify right side
    22,286.20x = 395,349,888.19
  5. Step 5: Solve for x
    x = 395,349,888.19/22,286.20
  6. Step 6: Final answer
    x = 17,739.67

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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.