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Finding the Fourth Proportional to 13,522.80, 20,270.43 and 9,140.70

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Solution

The fourth proportional to 13,522.80, 20,270.43 and 9,140.70 is: 13,701.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,522.80 : 20,270.43 = 9,140.70 : x
  2. Step 2: Convert to fraction form
    13,522.80/20,270.43 = 9,140.70/x
  3. Step 3: Cross multiply
    13,522.80x = 20,270.43 × 9,140.70
  4. Step 4: Simplify right side
    13,522.80x = 185,285,919.50
  5. Step 5: Solve for x
    x = 185,285,919.50/13,522.80
  6. Step 6: Final answer
    x = 13,701.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.