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Finding the Fourth Proportional to 15,011.85, 20,716.16 and 8,297.61

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Solution

The fourth proportional to 15,011.85, 20,716.16 and 8,297.61 is: 11,450.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,011.85 : 20,716.16 = 8,297.61 : x
  2. Step 2: Convert to fraction form
    15,011.85/20,716.16 = 8,297.61/x
  3. Step 3: Cross multiply
    15,011.85x = 20,716.16 × 8,297.61
  4. Step 4: Simplify right side
    15,011.85x = 171,894,616.38
  5. Step 5: Solve for x
    x = 171,894,616.38/15,011.85
  6. Step 6: Final answer
    x = 11,450.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.