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Finding the Fourth Proportional to 16,215.38, 24,323.27 and 5,827.13

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Solution

The fourth proportional to 16,215.38, 24,323.27 and 5,827.13 is: 8,740.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,215.38 : 24,323.27 = 5,827.13 : x
  2. Step 2: Convert to fraction form
    16,215.38/24,323.27 = 5,827.13/x
  3. Step 3: Cross multiply
    16,215.38x = 24,323.27 × 5,827.13
  4. Step 4: Simplify right side
    16,215.38x = 141,734,705.56
  5. Step 5: Solve for x
    x = 141,734,705.56/16,215.38
  6. Step 6: Final answer
    x = 8,740.76

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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.