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Finding the Fourth Proportional to 27,872.83, 38,471.88 and 17,256.43

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Solution

The fourth proportional to 27,872.83, 38,471.88 and 17,256.43 is: 23,818.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,872.83 : 38,471.88 = 17,256.43 : x
  2. Step 2: Convert to fraction form
    27,872.83/38,471.88 = 17,256.43/x
  3. Step 3: Cross multiply
    27,872.83x = 38,471.88 × 17,256.43
  4. Step 4: Simplify right side
    27,872.83x = 663,887,304.19
  5. Step 5: Solve for x
    x = 663,887,304.19/27,872.83
  6. Step 6: Final answer
    x = 23,818.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.