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Finding the Fourth Proportional to 16,081.50, 24,122.01 and 5,690.70

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Solution

The fourth proportional to 16,081.50, 24,122.01 and 5,690.70 is: 8,535.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,081.50 : 24,122.01 = 5,690.70 : x
  2. Step 2: Convert to fraction form
    16,081.50/24,122.01 = 5,690.70/x
  3. Step 3: Cross multiply
    16,081.50x = 24,122.01 × 5,690.70
  4. Step 4: Simplify right side
    16,081.50x = 137,271,122.31
  5. Step 5: Solve for x
    x = 137,271,122.31/16,081.50
  6. Step 6: Final answer
    x = 8,535.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.