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Finding the Fourth Proportional to 22,149.12, 33,214.08 and 8,294.40

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Solution

The fourth proportional to 22,149.12, 33,214.08 and 8,294.40 is: 12,438.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,149.12 : 33,214.08 = 8,294.40 : x
  2. Step 2: Convert to fraction form
    22,149.12/33,214.08 = 8,294.40/x
  3. Step 3: Cross multiply
    22,149.12x = 33,214.08 × 8,294.40
  4. Step 4: Simplify right side
    22,149.12x = 275,490,865.15
  5. Step 5: Solve for x
    x = 275,490,865.15/22,149.12
  6. Step 6: Final answer
    x = 12,438.00

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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.