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Finding the Fourth Proportional to 13,533.62, 20,338.70 and 7,989.57

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Solution

The fourth proportional to 13,533.62, 20,338.70 and 7,989.57 is: 12,006.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,533.62 : 20,338.70 = 7,989.57 : x
  2. Step 2: Convert to fraction form
    13,533.62/20,338.70 = 7,989.57/x
  3. Step 3: Cross multiply
    13,533.62x = 20,338.70 × 7,989.57
  4. Step 4: Simplify right side
    13,533.62x = 162,497,427.41
  5. Step 5: Solve for x
    x = 162,497,427.41/13,533.62
  6. Step 6: Final answer
    x = 12,006.95

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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.