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Finding the Fourth Proportional to 13,882.69, 19,158.57 and 7,914.25

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Solution

The fourth proportional to 13,882.69, 19,158.57 and 7,914.25 is: 10,921.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.69 : 19,158.57 = 7,914.25 : x
  2. Step 2: Convert to fraction form
    13,882.69/19,158.57 = 7,914.25/x
  3. Step 3: Cross multiply
    13,882.69x = 19,158.57 × 7,914.25
  4. Step 4: Simplify right side
    13,882.69x = 151,625,712.62
  5. Step 5: Solve for x
    x = 151,625,712.62/13,882.69
  6. Step 6: Final answer
    x = 10,921.93

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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.