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Finding the Fourth Proportional to 20,095.20, 30,154.56 and 8,407.44

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Solution

The fourth proportional to 20,095.20, 30,154.56 and 8,407.44 is: 12,616.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,095.20 : 30,154.56 = 8,407.44 : x
  2. Step 2: Convert to fraction form
    20,095.20/30,154.56 = 8,407.44/x
  3. Step 3: Cross multiply
    20,095.20x = 30,154.56 × 8,407.44
  4. Step 4: Simplify right side
    20,095.20x = 253,522,653.93
  5. Step 5: Solve for x
    x = 253,522,653.93/20,095.20
  6. Step 6: Final answer
    x = 12,616.08

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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.