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Finding the Fourth Proportional to 20,119.80, 30,143.70 and 9,708.60

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Solution

The fourth proportional to 20,119.80, 30,143.70 and 9,708.60 is: 14,545.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,119.80 : 30,143.70 = 9,708.60 : x
  2. Step 2: Convert to fraction form
    20,119.80/30,143.70 = 9,708.60/x
  3. Step 3: Cross multiply
    20,119.80x = 30,143.70 × 9,708.60
  4. Step 4: Simplify right side
    20,119.80x = 292,653,125.82
  5. Step 5: Solve for x
    x = 292,653,125.82/20,119.80
  6. Step 6: Final answer
    x = 14,545.53

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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.