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Finding the Fourth Proportional to 16,208.84, 24,324.78 and 5,822.12

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Solution

The fourth proportional to 16,208.84, 24,324.78 and 5,822.12 is: 8,737.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,208.84 : 24,324.78 = 5,822.12 : x
  2. Step 2: Convert to fraction form
    16,208.84/24,324.78 = 5,822.12/x
  3. Step 3: Cross multiply
    16,208.84x = 24,324.78 × 5,822.12
  4. Step 4: Simplify right side
    16,208.84x = 141,621,788.13
  5. Step 5: Solve for x
    x = 141,621,788.13/16,208.84
  6. Step 6: Final answer
    x = 8,737.32

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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.