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Finding the Fourth Proportional to 13,443, 20,165.73 and 4,083.04

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Solution

The fourth proportional to 13,443, 20,165.73 and 4,083.04 is: 6,124.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,443 : 20,165.73 = 4,083.04 : x
  2. Step 2: Convert to fraction form
    13,443/20,165.73 = 4,083.04/x
  3. Step 3: Cross multiply
    13,443x = 20,165.73 × 4,083.04
  4. Step 4: Simplify right side
    13,443x = 82,337,482.22
  5. Step 5: Solve for x
    x = 82,337,482.22/13,443
  6. Step 6: Final answer
    x = 6,124.93

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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.