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Finding the Fourth Proportional to 16,349.77, 24,529.20 and 5,822.20

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Solution

The fourth proportional to 16,349.77, 24,529.20 and 5,822.20 is: 8,734.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,349.77 : 24,529.20 = 5,822.20 : x
  2. Step 2: Convert to fraction form
    16,349.77/24,529.20 = 5,822.20/x
  3. Step 3: Cross multiply
    16,349.77x = 24,529.20 × 5,822.20
  4. Step 4: Simplify right side
    16,349.77x = 142,813,908.24
  5. Step 5: Solve for x
    x = 142,813,908.24/16,349.77
  6. Step 6: Final answer
    x = 8,734.92

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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.