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Finding the Fourth Proportional to 20,195.32, 30,294.65 and 6,155.47

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Solution

The fourth proportional to 20,195.32, 30,294.65 and 6,155.47 is: 9,233.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,195.32 : 30,294.65 = 6,155.47 : x
  2. Step 2: Convert to fraction form
    20,195.32/30,294.65 = 6,155.47/x
  3. Step 3: Cross multiply
    20,195.32x = 30,294.65 × 6,155.47
  4. Step 4: Simplify right side
    20,195.32x = 186,477,657.63
  5. Step 5: Solve for x
    x = 186,477,657.63/20,195.32
  6. Step 6: Final answer
    x = 9,233.71

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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.