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Finding the Fourth Proportional to 25,250.38, 37,881.04 and 9,668

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Solution

The fourth proportional to 25,250.38, 37,881.04 and 9,668 is: 14,504.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,250.38 : 37,881.04 = 9,668 : x
  2. Step 2: Convert to fraction form
    25,250.38/37,881.04 = 9,668/x
  3. Step 3: Cross multiply
    25,250.38x = 37,881.04 × 9,668
  4. Step 4: Simplify right side
    25,250.38x = 366,233,894.72
  5. Step 5: Solve for x
    x = 366,233,894.72/25,250.38
  6. Step 6: Final answer
    x = 14,504.09

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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.