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Finding the Fourth Proportional to 20,098.69, 30,148.02 and 6,951.16

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Solution

The fourth proportional to 20,098.69, 30,148.02 and 6,951.16 is: 10,426.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.69 : 30,148.02 = 6,951.16 : x
  2. Step 2: Convert to fraction form
    20,098.69/30,148.02 = 6,951.16/x
  3. Step 3: Cross multiply
    20,098.69x = 30,148.02 × 6,951.16
  4. Step 4: Simplify right side
    20,098.69x = 209,563,710.70
  5. Step 5: Solve for x
    x = 209,563,710.70/20,098.69
  6. Step 6: Final answer
    x = 10,426.73

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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.