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Finding the Fourth Proportional to 19,704.96, 27,192 and 10,752.24

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Solution

The fourth proportional to 19,704.96, 27,192 and 10,752.24 is: 14,837.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,704.96 : 27,192 = 10,752.24 : x
  2. Step 2: Convert to fraction form
    19,704.96/27,192 = 10,752.24/x
  3. Step 3: Cross multiply
    19,704.96x = 27,192 × 10,752.24
  4. Step 4: Simplify right side
    19,704.96x = 292,374,910.08
  5. Step 5: Solve for x
    x = 292,374,910.08/19,704.96
  6. Step 6: Final answer
    x = 14,837.63

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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.