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Finding the Fourth Proportional to 13,443.24, 20,161.62 and 4,209.24

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Solution

The fourth proportional to 13,443.24, 20,161.62 and 4,209.24 is: 6,312.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,443.24 : 20,161.62 = 4,209.24 : x
  2. Step 2: Convert to fraction form
    13,443.24/20,161.62 = 4,209.24/x
  3. Step 3: Cross multiply
    13,443.24x = 20,161.62 × 4,209.24
  4. Step 4: Simplify right side
    13,443.24x = 84,865,097.37
  5. Step 5: Solve for x
    x = 84,865,097.37/13,443.24
  6. Step 6: Final answer
    x = 6,312.85

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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.