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Finding the Fourth Proportional to 16,117.20, 24,175.80 and 13,198.80

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Solution

The fourth proportional to 16,117.20, 24,175.80 and 13,198.80 is: 19,798.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,117.20 : 24,175.80 = 13,198.80 : x
  2. Step 2: Convert to fraction form
    16,117.20/24,175.80 = 13,198.80/x
  3. Step 3: Cross multiply
    16,117.20x = 24,175.80 × 13,198.80
  4. Step 4: Simplify right side
    16,117.20x = 319,091,549.04
  5. Step 5: Solve for x
    x = 319,091,549.04/16,117.20
  6. Step 6: Final answer
    x = 19,798.20

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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.