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Finding the Fourth Proportional to 23,775.75, 32,819.18 and 13,839.75

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Solution

The fourth proportional to 23,775.75, 32,819.18 and 13,839.75 is: 19,103.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,775.75 : 32,819.18 = 13,839.75 : x
  2. Step 2: Convert to fraction form
    23,775.75/32,819.18 = 13,839.75/x
  3. Step 3: Cross multiply
    23,775.75x = 32,819.18 × 13,839.75
  4. Step 4: Simplify right side
    23,775.75x = 454,209,246.41
  5. Step 5: Solve for x
    x = 454,209,246.41/23,775.75
  6. Step 6: Final answer
    x = 19,103.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.