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Finding the Fourth Proportional to 22,809.20, 34,213.80 and 9,676.40

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Solution

The fourth proportional to 22,809.20, 34,213.80 and 9,676.40 is: 14,514.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,809.20 : 34,213.80 = 9,676.40 : x
  2. Step 2: Convert to fraction form
    22,809.20/34,213.80 = 9,676.40/x
  3. Step 3: Cross multiply
    22,809.20x = 34,213.80 × 9,676.40
  4. Step 4: Simplify right side
    22,809.20x = 331,066,414.32
  5. Step 5: Solve for x
    x = 331,066,414.32/22,809.20
  6. Step 6: Final answer
    x = 14,514.60

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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.