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Finding the Fourth Proportional to 13,807.20, 20,692.32 and 5,033.84

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Solution

The fourth proportional to 13,807.20, 20,692.32 and 5,033.84 is: 7,544.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.20 : 20,692.32 = 5,033.84 : x
  2. Step 2: Convert to fraction form
    13,807.20/20,692.32 = 5,033.84/x
  3. Step 3: Cross multiply
    13,807.20x = 20,692.32 × 5,033.84
  4. Step 4: Simplify right side
    13,807.20x = 104,161,828.11
  5. Step 5: Solve for x
    x = 104,161,828.11/13,807.20
  6. Step 6: Final answer
    x = 7,544.02

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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.