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Finding the Fourth Proportional to 22,780.38, 34,173 and 9,634.08

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Solution

The fourth proportional to 22,780.38, 34,173 and 9,634.08 is: 14,452.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,780.38 : 34,173 = 9,634.08 : x
  2. Step 2: Convert to fraction form
    22,780.38/34,173 = 9,634.08/x
  3. Step 3: Cross multiply
    22,780.38x = 34,173 × 9,634.08
  4. Step 4: Simplify right side
    22,780.38x = 329,225,415.84
  5. Step 5: Solve for x
    x = 329,225,415.84/22,780.38
  6. Step 6: Final answer
    x = 14,452.15

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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.