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Finding the Fourth Proportional to 20,225.52, 30,314.46 and 9,119.21

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Solution

The fourth proportional to 20,225.52, 30,314.46 and 9,119.21 is: 13,668.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,225.52 : 30,314.46 = 9,119.21 : x
  2. Step 2: Convert to fraction form
    20,225.52/30,314.46 = 9,119.21/x
  3. Step 3: Cross multiply
    20,225.52x = 30,314.46 × 9,119.21
  4. Step 4: Simplify right side
    20,225.52x = 276,443,926.78
  5. Step 5: Solve for x
    x = 276,443,926.78/20,225.52
  6. Step 6: Final answer
    x = 13,668.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.