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Finding the Fourth Proportional to 27,794.34, 38,356.68 and 19,850.10

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Solution

The fourth proportional to 27,794.34, 38,356.68 and 19,850.10 is: 27,393.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,794.34 : 38,356.68 = 19,850.10 : x
  2. Step 2: Convert to fraction form
    27,794.34/38,356.68 = 19,850.10/x
  3. Step 3: Cross multiply
    27,794.34x = 38,356.68 × 19,850.10
  4. Step 4: Simplify right side
    27,794.34x = 761,383,933.67
  5. Step 5: Solve for x
    x = 761,383,933.67/27,794.34
  6. Step 6: Final answer
    x = 27,393.49

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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.