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Finding the Fourth Proportional to 20,903.72, 31,358.52 and 6,113.75

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Solution

The fourth proportional to 20,903.72, 31,358.52 and 6,113.75 is: 9,171.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,903.72 : 31,358.52 = 6,113.75 : x
  2. Step 2: Convert to fraction form
    20,903.72/31,358.52 = 6,113.75/x
  3. Step 3: Cross multiply
    20,903.72x = 31,358.52 × 6,113.75
  4. Step 4: Simplify right side
    20,903.72x = 191,718,151.65
  5. Step 5: Solve for x
    x = 191,718,151.65/20,903.72
  6. Step 6: Final answer
    x = 9,171.48

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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.