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Finding the Fourth Proportional to 16,135.20, 24,202.80 and 13,543.20

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Solution

The fourth proportional to 16,135.20, 24,202.80 and 13,543.20 is: 20,314.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,135.20 : 24,202.80 = 13,543.20 : x
  2. Step 2: Convert to fraction form
    16,135.20/24,202.80 = 13,543.20/x
  3. Step 3: Cross multiply
    16,135.20x = 24,202.80 × 13,543.20
  4. Step 4: Simplify right side
    16,135.20x = 327,783,360.96
  5. Step 5: Solve for x
    x = 327,783,360.96/16,135.20
  6. Step 6: Final answer
    x = 20,314.80

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1.5x scale

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.