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Finding the Fourth Proportional to 27,770.72, 38,283.73 and 19,799.10

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Solution

The fourth proportional to 27,770.72, 38,283.73 and 19,799.10 is: 27,294.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,770.72 : 38,283.73 = 19,799.10 : x
  2. Step 2: Convert to fraction form
    27,770.72/38,283.73 = 19,799.10/x
  3. Step 3: Cross multiply
    27,770.72x = 38,283.73 × 19,799.10
  4. Step 4: Simplify right side
    27,770.72x = 757,983,398.64
  5. Step 5: Solve for x
    x = 757,983,398.64/27,770.72
  6. Step 6: Final answer
    x = 27,294.34

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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.