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Finding the Fourth Proportional to 20,219.70, 30,329.55 and 14,314.80

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Solution

The fourth proportional to 20,219.70, 30,329.55 and 14,314.80 is: 21,472.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,219.70 : 30,329.55 = 14,314.80 : x
  2. Step 2: Convert to fraction form
    20,219.70/30,329.55 = 14,314.80/x
  3. Step 3: Cross multiply
    20,219.70x = 30,329.55 × 14,314.80
  4. Step 4: Simplify right side
    20,219.70x = 434,161,442.34
  5. Step 5: Solve for x
    x = 434,161,442.34/20,219.70
  6. Step 6: Final answer
    x = 21,472.20

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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.