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Finding the Fourth Proportional to 13,884.56, 19,160.22 and 7,918.15

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Solution

The fourth proportional to 13,884.56, 19,160.22 and 7,918.15 is: 10,926.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884.56 : 19,160.22 = 7,918.15 : x
  2. Step 2: Convert to fraction form
    13,884.56/19,160.22 = 7,918.15/x
  3. Step 3: Cross multiply
    13,884.56x = 19,160.22 × 7,918.15
  4. Step 4: Simplify right side
    13,884.56x = 151,713,456.40
  5. Step 5: Solve for x
    x = 151,713,456.40/13,884.56
  6. Step 6: Final answer
    x = 10,926.77

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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.