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Finding the Fourth Proportional to 22,448, 33,676.86 and 8,597

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Solution

The fourth proportional to 22,448, 33,676.86 and 8,597 is: 12,897.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,448 : 33,676.86 = 8,597 : x
  2. Step 2: Convert to fraction form
    22,448/33,676.86 = 8,597/x
  3. Step 3: Cross multiply
    22,448x = 33,676.86 × 8,597
  4. Step 4: Simplify right side
    22,448x = 289,519,965.42
  5. Step 5: Solve for x
    x = 289,519,965.42/22,448
  6. Step 6: Final answer
    x = 12,897.36

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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.