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Finding the Fourth Proportional to 38,514.84, 57,780.90 and 12,220.44

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Solution

The fourth proportional to 38,514.84, 57,780.90 and 12,220.44 is: 18,333.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,514.84 : 57,780.90 = 12,220.44 : x
  2. Step 2: Convert to fraction form
    38,514.84/57,780.90 = 12,220.44/x
  3. Step 3: Cross multiply
    38,514.84x = 57,780.90 × 12,220.44
  4. Step 4: Simplify right side
    38,514.84x = 706,108,021.60
  5. Step 5: Solve for x
    x = 706,108,021.60/38,514.84
  6. Step 6: Final answer
    x = 18,333.40

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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.