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Finding the Fourth Proportional to 17,662.24, 24,375 and 9,705.16

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Solution

The fourth proportional to 17,662.24, 24,375 and 9,705.16 is: 13,393.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,662.24 : 24,375 = 9,705.16 : x
  2. Step 2: Convert to fraction form
    17,662.24/24,375 = 9,705.16/x
  3. Step 3: Cross multiply
    17,662.24x = 24,375 × 9,705.16
  4. Step 4: Simplify right side
    17,662.24x = 236,563,275
  5. Step 5: Solve for x
    x = 236,563,275/17,662.24
  6. Step 6: Final answer
    x = 13,393.73

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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.