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Finding the Fourth Proportional to 17,662.74, 24,375.18 and 9,705.25

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Solution

The fourth proportional to 17,662.74, 24,375.18 and 9,705.25 is: 13,393.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,662.74 : 24,375.18 = 9,705.25 : x
  2. Step 2: Convert to fraction form
    17,662.74/24,375.18 = 9,705.25/x
  3. Step 3: Cross multiply
    17,662.74x = 24,375.18 × 9,705.25
  4. Step 4: Simplify right side
    17,662.74x = 236,567,215.70
  5. Step 5: Solve for x
    x = 236,567,215.70/17,662.74
  6. Step 6: Final answer
    x = 13,393.57

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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.