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Finding the Fourth Proportional to 20,421.57, 30,609.39 and 10,398.19

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Solution

The fourth proportional to 20,421.57, 30,609.39 and 10,398.19 is: 15,585.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,421.57 : 30,609.39 = 10,398.19 : x
  2. Step 2: Convert to fraction form
    20,421.57/30,609.39 = 10,398.19/x
  3. Step 3: Cross multiply
    20,421.57x = 30,609.39 × 10,398.19
  4. Step 4: Simplify right side
    20,421.57x = 318,282,272.87
  5. Step 5: Solve for x
    x = 318,282,272.87/20,421.57
  6. Step 6: Final answer
    x = 15,585.59

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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.