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Finding the Fourth Proportional to 22,994.16, 34,493.93 and 8,205.18

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Solution

The fourth proportional to 22,994.16, 34,493.93 and 8,205.18 is: 12,308.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,994.16 : 34,493.93 = 8,205.18 : x
  2. Step 2: Convert to fraction form
    22,994.16/34,493.93 = 8,205.18/x
  3. Step 3: Cross multiply
    22,994.16x = 34,493.93 × 8,205.18
  4. Step 4: Simplify right side
    22,994.16x = 283,028,863.53
  5. Step 5: Solve for x
    x = 283,028,863.53/22,994.16
  6. Step 6: Final answer
    x = 12,308.73

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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.