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Finding the Fourth Proportional to 13,443.84, 20,165.82 and 4,083.87

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Solution

The fourth proportional to 13,443.84, 20,165.82 and 4,083.87 is: 6,125.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,443.84 : 20,165.82 = 4,083.87 : x
  2. Step 2: Convert to fraction form
    13,443.84/20,165.82 = 4,083.87/x
  3. Step 3: Cross multiply
    13,443.84x = 20,165.82 × 4,083.87
  4. Step 4: Simplify right side
    13,443.84x = 82,354,587.32
  5. Step 5: Solve for x
    x = 82,354,587.32/13,443.84
  6. Step 6: Final answer
    x = 6,125.82

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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.