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Finding the Fourth Proportional to 17,883.60, 24,678 and 10,326.48

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Solution

The fourth proportional to 17,883.60, 24,678 and 10,326.48 is: 14,249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,883.60 : 24,678 = 10,326.48 : x
  2. Step 2: Convert to fraction form
    17,883.60/24,678 = 10,326.48/x
  3. Step 3: Cross multiply
    17,883.60x = 24,678 × 10,326.48
  4. Step 4: Simplify right side
    17,883.60x = 254,836,873.44
  5. Step 5: Solve for x
    x = 254,836,873.44/17,883.60
  6. Step 6: Final answer
    x = 14,249.75

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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.