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Finding the Fourth Proportional to 13,775.42, 20,663.30 and 3,914.69

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Solution

The fourth proportional to 13,775.42, 20,663.30 and 3,914.69 is: 5,872.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,775.42 : 20,663.30 = 3,914.69 : x
  2. Step 2: Convert to fraction form
    13,775.42/20,663.30 = 3,914.69/x
  3. Step 3: Cross multiply
    13,775.42x = 20,663.30 × 3,914.69
  4. Step 4: Simplify right side
    13,775.42x = 80,890,290.99
  5. Step 5: Solve for x
    x = 80,890,290.99/13,775.42
  6. Step 6: Final answer
    x = 5,872.08

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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.