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Finding the Fourth Proportional to 38,515.84, 57,782.40 and 12,221.44

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Solution

The fourth proportional to 38,515.84, 57,782.40 and 12,221.44 is: 18,334.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,515.84 : 57,782.40 = 12,221.44 : x
  2. Step 2: Convert to fraction form
    38,515.84/57,782.40 = 12,221.44/x
  3. Step 3: Cross multiply
    38,515.84x = 57,782.40 × 12,221.44
  4. Step 4: Simplify right side
    38,515.84x = 706,184,134.66
  5. Step 5: Solve for x
    x = 706,184,134.66/38,515.84
  6. Step 6: Final answer
    x = 18,334.90

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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.