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Finding the Fourth Proportional to 16,212.84, 24,319.26 and 5,822.12

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Solution

The fourth proportional to 16,212.84, 24,319.26 and 5,822.12 is: 8,733.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,212.84 : 24,319.26 = 5,822.12 : x
  2. Step 2: Convert to fraction form
    16,212.84/24,319.26 = 5,822.12/x
  3. Step 3: Cross multiply
    16,212.84x = 24,319.26 × 5,822.12
  4. Step 4: Simplify right side
    16,212.84x = 141,589,650.03
  5. Step 5: Solve for x
    x = 141,589,650.03/16,212.84
  6. Step 6: Final answer
    x = 8,733.18

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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.