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Finding the Fourth Proportional to 22,372.84, 33,565.92 and 9,226

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Solution

The fourth proportional to 22,372.84, 33,565.92 and 9,226 is: 13,841.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,372.84 : 33,565.92 = 9,226 : x
  2. Step 2: Convert to fraction form
    22,372.84/33,565.92 = 9,226/x
  3. Step 3: Cross multiply
    22,372.84x = 33,565.92 × 9,226
  4. Step 4: Simplify right side
    22,372.84x = 309,679,177.92
  5. Step 5: Solve for x
    x = 309,679,177.92/22,372.84
  6. Step 6: Final answer
    x = 13,841.75

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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.