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Finding the Fourth Proportional to 22,934.39, 34,406.52 and 7,139.09

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Solution

The fourth proportional to 22,934.39, 34,406.52 and 7,139.09 is: 10,710.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,934.39 : 34,406.52 = 7,139.09 : x
  2. Step 2: Convert to fraction form
    22,934.39/34,406.52 = 7,139.09/x
  3. Step 3: Cross multiply
    22,934.39x = 34,406.52 × 7,139.09
  4. Step 4: Simplify right side
    22,934.39x = 245,631,148.73
  5. Step 5: Solve for x
    x = 245,631,148.73/22,934.39
  6. Step 6: Final answer
    x = 10,710.17

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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.