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Finding the Fourth Proportional to 19,833.96, 27,375.84 and 13,471.32

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Solution

The fourth proportional to 19,833.96, 27,375.84 and 13,471.32 is: 18,593.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,833.96 : 27,375.84 = 13,471.32 : x
  2. Step 2: Convert to fraction form
    19,833.96/27,375.84 = 13,471.32/x
  3. Step 3: Cross multiply
    19,833.96x = 27,375.84 × 13,471.32
  4. Step 4: Simplify right side
    19,833.96x = 368,788,700.91
  5. Step 5: Solve for x
    x = 368,788,700.91/19,833.96
  6. Step 6: Final answer
    x = 18,593.80

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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.