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Finding the Fourth Proportional to 13,869.96, 19,140.42 and 7,822.14

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Solution

The fourth proportional to 13,869.96, 19,140.42 and 7,822.14 is: 10,794.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,869.96 : 19,140.42 = 7,822.14 : x
  2. Step 2: Convert to fraction form
    13,869.96/19,140.42 = 7,822.14/x
  3. Step 3: Cross multiply
    13,869.96x = 19,140.42 × 7,822.14
  4. Step 4: Simplify right side
    13,869.96x = 149,719,044.90
  5. Step 5: Solve for x
    x = 149,719,044.90/13,869.96
  6. Step 6: Final answer
    x = 10,794.48

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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.