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Finding the Fourth Proportional to 13,306.38, 18,363.65 and 7,338.06

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Solution

The fourth proportional to 13,306.38, 18,363.65 and 7,338.06 is: 10,126.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,306.38 : 18,363.65 = 7,338.06 : x
  2. Step 2: Convert to fraction form
    13,306.38/18,363.65 = 7,338.06/x
  3. Step 3: Cross multiply
    13,306.38x = 18,363.65 × 7,338.06
  4. Step 4: Simplify right side
    13,306.38x = 134,753,528.83
  5. Step 5: Solve for x
    x = 134,753,528.83/13,306.38
  6. Step 6: Final answer
    x = 10,126.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.