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Finding the Fourth Proportional to 38,514.88, 57,775.56 and 12,214.18

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Solution

The fourth proportional to 38,514.88, 57,775.56 and 12,214.18 is: 18,322.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,514.88 : 57,775.56 = 12,214.18 : x
  2. Step 2: Convert to fraction form
    38,514.88/57,775.56 = 12,214.18/x
  3. Step 3: Cross multiply
    38,514.88x = 57,775.56 × 12,214.18
  4. Step 4: Simplify right side
    38,514.88x = 705,681,089.44
  5. Step 5: Solve for x
    x = 705,681,089.44/38,514.88
  6. Step 6: Final answer
    x = 18,322.30

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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.