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Finding the Fourth Proportional to 27,768, 41,668.38 and 10,250.13

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Solution

The fourth proportional to 27,768, 41,668.38 and 10,250.13 is: 15,381.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,768 : 41,668.38 = 10,250.13 : x
  2. Step 2: Convert to fraction form
    27,768/41,668.38 = 10,250.13/x
  3. Step 3: Cross multiply
    27,768x = 41,668.38 × 10,250.13
  4. Step 4: Simplify right side
    27,768x = 427,106,311.89
  5. Step 5: Solve for x
    x = 427,106,311.89/27,768
  6. Step 6: Final answer
    x = 15,381.24

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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.