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Finding the Fourth Proportional to 13,825.20, 20,737.80 and 13,220.40

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Solution

The fourth proportional to 13,825.20, 20,737.80 and 13,220.40 is: 19,830.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,825.20 : 20,737.80 = 13,220.40 : x
  2. Step 2: Convert to fraction form
    13,825.20/20,737.80 = 13,220.40/x
  3. Step 3: Cross multiply
    13,825.20x = 20,737.80 × 13,220.40
  4. Step 4: Simplify right side
    13,825.20x = 274,162,011.12
  5. Step 5: Solve for x
    x = 274,162,011.12/13,825.20
  6. Step 6: Final answer
    x = 19,830.60

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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.