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Finding the Fourth Proportional to 22,872.78, 34,309.17 and 7,290

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Solution

The fourth proportional to 22,872.78, 34,309.17 and 7,290 is: 10,935

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,872.78 : 34,309.17 = 7,290 : x
  2. Step 2: Convert to fraction form
    22,872.78/34,309.17 = 7,290/x
  3. Step 3: Cross multiply
    22,872.78x = 34,309.17 × 7,290
  4. Step 4: Simplify right side
    22,872.78x = 250,113,849.30
  5. Step 5: Solve for x
    x = 250,113,849.30/22,872.78
  6. Step 6: Final answer
    x = 10,935

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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.