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Finding the Fourth Proportional to 16,181.10, 24,264.09 and 11,282.22

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Solution

The fourth proportional to 16,181.10, 24,264.09 and 11,282.22 is: 16,918.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,181.10 : 24,264.09 = 11,282.22 : x
  2. Step 2: Convert to fraction form
    16,181.10/24,264.09 = 11,282.22/x
  3. Step 3: Cross multiply
    16,181.10x = 24,264.09 × 11,282.22
  4. Step 4: Simplify right side
    16,181.10x = 273,752,801.48
  5. Step 5: Solve for x
    x = 273,752,801.48/16,181.10
  6. Step 6: Final answer
    x = 16,918.06

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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.