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Finding the Fourth Proportional to 22,922.32, 34,372.14 and 8,129.02

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Solution

The fourth proportional to 22,922.32, 34,372.14 and 8,129.02 is: 12,189.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,922.32 : 34,372.14 = 8,129.02 : x
  2. Step 2: Convert to fraction form
    22,922.32/34,372.14 = 8,129.02/x
  3. Step 3: Cross multiply
    22,922.32x = 34,372.14 × 8,129.02
  4. Step 4: Simplify right side
    22,922.32x = 279,411,813.50
  5. Step 5: Solve for x
    x = 279,411,813.50/22,922.32
  6. Step 6: Final answer
    x = 12,189.51

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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.