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Finding the Fourth Proportional to 38,476.35, 57,717.81 and 13,514.22

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Solution

The fourth proportional to 38,476.35, 57,717.81 and 13,514.22 is: 20,272.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,476.35 : 57,717.81 = 13,514.22 : x
  2. Step 2: Convert to fraction form
    38,476.35/57,717.81 = 13,514.22/x
  3. Step 3: Cross multiply
    38,476.35x = 57,717.81 × 13,514.22
  4. Step 4: Simplify right side
    38,476.35x = 780,011,182.26
  5. Step 5: Solve for x
    x = 780,011,182.26/38,476.35
  6. Step 6: Final answer
    x = 20,272.48

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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.