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Finding the Fourth Proportional to 13,767.12, 20,648.76 and 4,530

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Solution

The fourth proportional to 13,767.12, 20,648.76 and 4,530 is: 6,794.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,767.12 : 20,648.76 = 4,530 : x
  2. Step 2: Convert to fraction form
    13,767.12/20,648.76 = 4,530/x
  3. Step 3: Cross multiply
    13,767.12x = 20,648.76 × 4,530
  4. Step 4: Simplify right side
    13,767.12x = 93,538,882.80
  5. Step 5: Solve for x
    x = 93,538,882.80/13,767.12
  6. Step 6: Final answer
    x = 6,794.37

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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.