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Finding the Fourth Proportional to 20,140.60, 30,211.52 and 9,611.76

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Solution

The fourth proportional to 20,140.60, 30,211.52 and 9,611.76 is: 14,417.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,140.60 : 30,211.52 = 9,611.76 : x
  2. Step 2: Convert to fraction form
    20,140.60/30,211.52 = 9,611.76/x
  3. Step 3: Cross multiply
    20,140.60x = 30,211.52 × 9,611.76
  4. Step 4: Simplify right side
    20,140.60x = 290,385,879.48
  5. Step 5: Solve for x
    x = 290,385,879.48/20,140.60
  6. Step 6: Final answer
    x = 14,417.94

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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.