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Finding the Fourth Proportional to 20,192.70, 30,289.05 and 10,328.70

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Solution

The fourth proportional to 20,192.70, 30,289.05 and 10,328.70 is: 15,493.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,192.70 : 30,289.05 = 10,328.70 : x
  2. Step 2: Convert to fraction form
    20,192.70/30,289.05 = 10,328.70/x
  3. Step 3: Cross multiply
    20,192.70x = 30,289.05 × 10,328.70
  4. Step 4: Simplify right side
    20,192.70x = 312,846,510.74
  5. Step 5: Solve for x
    x = 312,846,510.74/20,192.70
  6. Step 6: Final answer
    x = 15,493.05

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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.