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Finding the Fourth Proportional to 16,288.68, 24,433.04 and 5,898

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Solution

The fourth proportional to 16,288.68, 24,433.04 and 5,898 is: 8,847.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,288.68 : 24,433.04 = 5,898 : x
  2. Step 2: Convert to fraction form
    16,288.68/24,433.04 = 5,898/x
  3. Step 3: Cross multiply
    16,288.68x = 24,433.04 × 5,898
  4. Step 4: Simplify right side
    16,288.68x = 144,106,069.92
  5. Step 5: Solve for x
    x = 144,106,069.92/16,288.68
  6. Step 6: Final answer
    x = 8,847.01

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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.