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Finding the Fourth Proportional to 16,545.87, 24,820.63 and 4,860

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Solution

The fourth proportional to 16,545.87, 24,820.63 and 4,860 is: 7,290.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,545.87 : 24,820.63 = 4,860 : x
  2. Step 2: Convert to fraction form
    16,545.87/24,820.63 = 4,860/x
  3. Step 3: Cross multiply
    16,545.87x = 24,820.63 × 4,860
  4. Step 4: Simplify right side
    16,545.87x = 120,628,249.65
  5. Step 5: Solve for x
    x = 120,628,249.65/16,545.87
  6. Step 6: Final answer
    x = 7,290.54

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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.