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Finding the Fourth Proportional to 13,528.68, 20,294.94 and 4,169.46

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Solution

The fourth proportional to 13,528.68, 20,294.94 and 4,169.46 is: 6,254.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,528.68 : 20,294.94 = 4,169.46 : x
  2. Step 2: Convert to fraction form
    13,528.68/20,294.94 = 4,169.46/x
  3. Step 3: Cross multiply
    13,528.68x = 20,294.94 × 4,169.46
  4. Step 4: Simplify right side
    13,528.68x = 84,618,940.53
  5. Step 5: Solve for x
    x = 84,618,940.53/13,528.68
  6. Step 6: Final answer
    x = 6,254.78

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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.