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Finding the Fourth Proportional to 38,514.66, 57,771.84 and 12,221.45

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Solution

The fourth proportional to 38,514.66, 57,771.84 and 12,221.45 is: 18,332.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,514.66 : 57,771.84 = 12,221.45 : x
  2. Step 2: Convert to fraction form
    38,514.66/57,771.84 = 12,221.45/x
  3. Step 3: Cross multiply
    38,514.66x = 57,771.84 × 12,221.45
  4. Step 4: Simplify right side
    38,514.66x = 706,055,737.29
  5. Step 5: Solve for x
    x = 706,055,737.29/38,514.66
  6. Step 6: Final answer
    x = 18,332.13

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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.