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Finding the Fourth Proportional to 27,761.40, 38,310.39 and 15,824.34

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Solution

The fourth proportional to 27,761.40, 38,310.39 and 15,824.34 is: 21,837.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,761.40 : 38,310.39 = 15,824.34 : x
  2. Step 2: Convert to fraction form
    27,761.40/38,310.39 = 15,824.34/x
  3. Step 3: Cross multiply
    27,761.40x = 38,310.39 × 15,824.34
  4. Step 4: Simplify right side
    27,761.40x = 606,236,636.89
  5. Step 5: Solve for x
    x = 606,236,636.89/27,761.40
  6. Step 6: Final answer
    x = 21,837.39

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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.