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Finding the Fourth Proportional to 20,595.57, 30,869.49 and 9,478.92

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Solution

The fourth proportional to 20,595.57, 30,869.49 and 9,478.92 is: 14,207.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,595.57 : 30,869.49 = 9,478.92 : x
  2. Step 2: Convert to fraction form
    20,595.57/30,869.49 = 9,478.92/x
  3. Step 3: Cross multiply
    20,595.57x = 30,869.49 × 9,478.92
  4. Step 4: Simplify right side
    20,595.57x = 292,609,426.15
  5. Step 5: Solve for x
    x = 292,609,426.15/20,595.57
  6. Step 6: Final answer
    x = 14,207.40

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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.