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Finding the Fourth Proportional to 22,618.20, 33,919.17 and 7,823.10

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Solution

The fourth proportional to 22,618.20, 33,919.17 and 7,823.10 is: 11,731.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,618.20 : 33,919.17 = 7,823.10 : x
  2. Step 2: Convert to fraction form
    22,618.20/33,919.17 = 7,823.10/x
  3. Step 3: Cross multiply
    22,618.20x = 33,919.17 × 7,823.10
  4. Step 4: Simplify right side
    22,618.20x = 265,353,058.83
  5. Step 5: Solve for x
    x = 265,353,058.83/22,618.20
  6. Step 6: Final answer
    x = 11,731.84

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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.