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Finding the Fourth Proportional to 20,117.71, 30,182.01 and 6,078.20

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Solution

The fourth proportional to 20,117.71, 30,182.01 and 6,078.20 is: 9,118.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,117.71 : 30,182.01 = 6,078.20 : x
  2. Step 2: Convert to fraction form
    20,117.71/30,182.01 = 6,078.20/x
  3. Step 3: Cross multiply
    20,117.71x = 30,182.01 × 6,078.20
  4. Step 4: Simplify right side
    20,117.71x = 183,452,142.27
  5. Step 5: Solve for x
    x = 183,452,142.27/20,117.71
  6. Step 6: Final answer
    x = 9,118.94

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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.