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Finding the Fourth Proportional to 27,710.64, 38,213.37 and 17,098.02

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Solution

The fourth proportional to 27,710.64, 38,213.37 and 17,098.02 is: 23,578.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,710.64 : 38,213.37 = 17,098.02 : x
  2. Step 2: Convert to fraction form
    27,710.64/38,213.37 = 17,098.02/x
  3. Step 3: Cross multiply
    27,710.64x = 38,213.37 × 17,098.02
  4. Step 4: Simplify right side
    27,710.64x = 653,372,964.53
  5. Step 5: Solve for x
    x = 653,372,964.53/27,710.64
  6. Step 6: Final answer
    x = 23,578.41

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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.