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Finding the Fourth Proportional to 12,522.38, 17,281.08 and 6,933.38

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Solution

The fourth proportional to 12,522.38, 17,281.08 and 6,933.38 is: 9,568.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,522.38 : 17,281.08 = 6,933.38 : x
  2. Step 2: Convert to fraction form
    12,522.38/17,281.08 = 6,933.38/x
  3. Step 3: Cross multiply
    12,522.38x = 17,281.08 × 6,933.38
  4. Step 4: Simplify right side
    12,522.38x = 119,816,208.05
  5. Step 5: Solve for x
    x = 119,816,208.05/12,522.38
  6. Step 6: Final answer
    x = 9,568.17

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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.