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Finding the Fourth Proportional to 16,149.60, 24,175.80 and 14,205.60

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Solution

The fourth proportional to 16,149.60, 24,175.80 and 14,205.60 is: 21,265.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,149.60 : 24,175.80 = 14,205.60 : x
  2. Step 2: Convert to fraction form
    16,149.60/24,175.80 = 14,205.60/x
  3. Step 3: Cross multiply
    16,149.60x = 24,175.80 × 14,205.60
  4. Step 4: Simplify right side
    16,149.60x = 343,431,744.48
  5. Step 5: Solve for x
    x = 343,431,744.48/16,149.60
  6. Step 6: Final answer
    x = 21,265.65

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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.