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Finding the Fourth Proportional to 14,869, 22,306.74 and 5,635

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Solution

The fourth proportional to 14,869, 22,306.74 and 5,635 is: 8,453.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,869 : 22,306.74 = 5,635 : x
  2. Step 2: Convert to fraction form
    14,869/22,306.74 = 5,635/x
  3. Step 3: Cross multiply
    14,869x = 22,306.74 × 5,635
  4. Step 4: Simplify right side
    14,869x = 125,698,479.90
  5. Step 5: Solve for x
    x = 125,698,479.90/14,869
  6. Step 6: Final answer
    x = 8,453.73

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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.