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Finding the Fourth Proportional to 13,922.69, 19,214.01 and 8,882.87

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Solution

The fourth proportional to 13,922.69, 19,214.01 and 8,882.87 is: 12,258.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,922.69 : 19,214.01 = 8,882.87 : x
  2. Step 2: Convert to fraction form
    13,922.69/19,214.01 = 8,882.87/x
  3. Step 3: Cross multiply
    13,922.69x = 19,214.01 × 8,882.87
  4. Step 4: Simplify right side
    13,922.69x = 170,675,456.94
  5. Step 5: Solve for x
    x = 170,675,456.94/13,922.69
  6. Step 6: Final answer
    x = 12,258.80

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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.