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Finding the Fourth Proportional to 27,711.64, 38,214.75 and 17,099.02

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Solution

The fourth proportional to 27,711.64, 38,214.75 and 17,099.02 is: 23,579.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,711.64 : 38,214.75 = 17,099.02 : x
  2. Step 2: Convert to fraction form
    27,711.64/38,214.75 = 17,099.02/x
  3. Step 3: Cross multiply
    27,711.64x = 38,214.75 × 17,099.02
  4. Step 4: Simplify right side
    27,711.64x = 653,434,774.55
  5. Step 5: Solve for x
    x = 653,434,774.55/27,711.64
  6. Step 6: Final answer
    x = 23,579.79

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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.