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Finding the Fourth Proportional to 17,989.74, 24,826 and 9,923.70

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Solution

The fourth proportional to 17,989.74, 24,826 and 9,923.70 is: 13,694.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,989.74 : 24,826 = 9,923.70 : x
  2. Step 2: Convert to fraction form
    17,989.74/24,826 = 9,923.70/x
  3. Step 3: Cross multiply
    17,989.74x = 24,826 × 9,923.70
  4. Step 4: Simplify right side
    17,989.74x = 246,365,776.20
  5. Step 5: Solve for x
    x = 246,365,776.20/17,989.74
  6. Step 6: Final answer
    x = 13,694.79

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1.5x scale

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.