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Finding the Fourth Proportional to 20,124.65, 30,182.70 and 7,640.30

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Solution

The fourth proportional to 20,124.65, 30,182.70 and 7,640.30 is: 11,458.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,124.65 : 30,182.70 = 7,640.30 : x
  2. Step 2: Convert to fraction form
    20,124.65/30,182.70 = 7,640.30/x
  3. Step 3: Cross multiply
    20,124.65x = 30,182.70 × 7,640.30
  4. Step 4: Simplify right side
    20,124.65x = 230,604,882.81
  5. Step 5: Solve for x
    x = 230,604,882.81/20,124.65
  6. Step 6: Final answer
    x = 11,458.83

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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.