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Finding the Fourth Proportional to 16,143.36, 24,221.16 and 7,822.77

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Solution

The fourth proportional to 16,143.36, 24,221.16 and 7,822.77 is: 11,737.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,143.36 : 24,221.16 = 7,822.77 : x
  2. Step 2: Convert to fraction form
    16,143.36/24,221.16 = 7,822.77/x
  3. Step 3: Cross multiply
    16,143.36x = 24,221.16 × 7,822.77
  4. Step 4: Simplify right side
    16,143.36x = 189,476,563.81
  5. Step 5: Solve for x
    x = 189,476,563.81/16,143.36
  6. Step 6: Final answer
    x = 11,737.12

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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.