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Finding the Fourth Proportional to 20,295.15, 30,445.76 and 7,145.20

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Solution

The fourth proportional to 20,295.15, 30,445.76 and 7,145.20 is: 10,718.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,295.15 : 30,445.76 = 7,145.20 : x
  2. Step 2: Convert to fraction form
    20,295.15/30,445.76 = 7,145.20/x
  3. Step 3: Cross multiply
    20,295.15x = 30,445.76 × 7,145.20
  4. Step 4: Simplify right side
    20,295.15x = 217,541,044.35
  5. Step 5: Solve for x
    x = 217,541,044.35/20,295.15
  6. Step 6: Final answer
    x = 10,718.87

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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.