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Finding the Fourth Proportional to 38,412.38, 57,627.13 and 11,762.11

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Solution

The fourth proportional to 38,412.38, 57,627.13 and 11,762.11 is: 17,645.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,412.38 : 57,627.13 = 11,762.11 : x
  2. Step 2: Convert to fraction form
    38,412.38/57,627.13 = 11,762.11/x
  3. Step 3: Cross multiply
    38,412.38x = 57,627.13 × 11,762.11
  4. Step 4: Simplify right side
    38,412.38x = 677,816,642.04
  5. Step 5: Solve for x
    x = 677,816,642.04/38,412.38
  6. Step 6: Final answer
    x = 17,645.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.