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Finding the Fourth Proportional to 16,175.20, 22,320.84 and 9,101.20

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Solution

The fourth proportional to 16,175.20, 22,320.84 and 9,101.20 is: 12,559.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,175.20 : 22,320.84 = 9,101.20 : x
  2. Step 2: Convert to fraction form
    16,175.20/22,320.84 = 9,101.20/x
  3. Step 3: Cross multiply
    16,175.20x = 22,320.84 × 9,101.20
  4. Step 4: Simplify right side
    16,175.20x = 203,146,429.01
  5. Step 5: Solve for x
    x = 203,146,429.01/16,175.20
  6. Step 6: Final answer
    x = 12,559.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.