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Finding the Fourth Proportional to 20,167.68, 30,225.24 and 10,298.64

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Solution

The fourth proportional to 20,167.68, 30,225.24 and 10,298.64 is: 15,434.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,167.68 : 30,225.24 = 10,298.64 : x
  2. Step 2: Convert to fraction form
    20,167.68/30,225.24 = 10,298.64/x
  3. Step 3: Cross multiply
    20,167.68x = 30,225.24 × 10,298.64
  4. Step 4: Simplify right side
    20,167.68x = 311,278,865.67
  5. Step 5: Solve for x
    x = 311,278,865.67/20,167.68
  6. Step 6: Final answer
    x = 15,434.54

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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.