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Finding the Fourth Proportional to 14,542.32, 21,813.96 and 4,013.13

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Solution

The fourth proportional to 14,542.32, 21,813.96 and 4,013.13 is: 6,019.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,542.32 : 21,813.96 = 4,013.13 : x
  2. Step 2: Convert to fraction form
    14,542.32/21,813.96 = 4,013.13/x
  3. Step 3: Cross multiply
    14,542.32x = 21,813.96 × 4,013.13
  4. Step 4: Simplify right side
    14,542.32x = 87,542,257.29
  5. Step 5: Solve for x
    x = 87,542,257.29/14,542.32
  6. Step 6: Final answer
    x = 6,019.83

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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.