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Finding the Fourth Proportional to 13,488.71, 20,233.46 and 3,627.99

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Solution

The fourth proportional to 13,488.71, 20,233.46 and 3,627.99 is: 5,442.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,488.71 : 20,233.46 = 3,627.99 : x
  2. Step 2: Convert to fraction form
    13,488.71/20,233.46 = 3,627.99/x
  3. Step 3: Cross multiply
    13,488.71x = 20,233.46 × 3,627.99
  4. Step 4: Simplify right side
    13,488.71x = 73,406,772.41
  5. Step 5: Solve for x
    x = 73,406,772.41/13,488.71
  6. Step 6: Final answer
    x = 5,442.09

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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.