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Finding the Fourth Proportional to 27,719.91, 38,266.08 and 17,662.14

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Solution

The fourth proportional to 27,719.91, 38,266.08 and 17,662.14 is: 24,381.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,719.91 : 38,266.08 = 17,662.14 : x
  2. Step 2: Convert to fraction form
    27,719.91/38,266.08 = 17,662.14/x
  3. Step 3: Cross multiply
    27,719.91x = 38,266.08 × 17,662.14
  4. Step 4: Simplify right side
    27,719.91x = 675,860,862.21
  5. Step 5: Solve for x
    x = 675,860,862.21/27,719.91
  6. Step 6: Final answer
    x = 24,381.78

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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.