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Finding the Fourth Proportional to 13,668.38, 18,862.66 and 7,619

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Solution

The fourth proportional to 13,668.38, 18,862.66 and 7,619 is: 10,514.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,668.38 : 18,862.66 = 7,619 : x
  2. Step 2: Convert to fraction form
    13,668.38/18,862.66 = 7,619/x
  3. Step 3: Cross multiply
    13,668.38x = 18,862.66 × 7,619
  4. Step 4: Simplify right side
    13,668.38x = 143,714,606.54
  5. Step 5: Solve for x
    x = 143,714,606.54/13,668.38
  6. Step 6: Final answer
    x = 10,514.38

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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.