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Finding the Fourth Proportional to 22,868.30, 34,282.73 and 8,838.17

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Solution

The fourth proportional to 22,868.30, 34,282.73 and 8,838.17 is: 13,249.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,868.30 : 34,282.73 = 8,838.17 : x
  2. Step 2: Convert to fraction form
    22,868.30/34,282.73 = 8,838.17/x
  3. Step 3: Cross multiply
    22,868.30x = 34,282.73 × 8,838.17
  4. Step 4: Simplify right side
    22,868.30x = 302,996,488.00
  5. Step 5: Solve for x
    x = 302,996,488.00/22,868.30
  6. Step 6: Final answer
    x = 13,249.63

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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.