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Finding the Fourth Proportional to 13,011.71, 17,938.30 and 8,229.27

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Solution

The fourth proportional to 13,011.71, 17,938.30 and 8,229.27 is: 11,345.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,011.71 : 17,938.30 = 8,229.27 : x
  2. Step 2: Convert to fraction form
    13,011.71/17,938.30 = 8,229.27/x
  3. Step 3: Cross multiply
    13,011.71x = 17,938.30 × 8,229.27
  4. Step 4: Simplify right side
    13,011.71x = 147,619,093.47
  5. Step 5: Solve for x
    x = 147,619,093.47/13,011.71
  6. Step 6: Final answer
    x = 11,345.09

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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.