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Finding the Fourth Proportional to 22,838.67, 34,258.01 and 6,198.71

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Solution

The fourth proportional to 22,838.67, 34,258.01 and 6,198.71 is: 9,298.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,838.67 : 34,258.01 = 6,198.71 : x
  2. Step 2: Convert to fraction form
    22,838.67/34,258.01 = 6,198.71/x
  3. Step 3: Cross multiply
    22,838.67x = 34,258.01 × 6,198.71
  4. Step 4: Simplify right side
    22,838.67x = 212,355,266.88
  5. Step 5: Solve for x
    x = 212,355,266.88/22,838.67
  6. Step 6: Final answer
    x = 9,298.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.