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Finding the Fourth Proportional to 13,884.14, 19,158.96 and 7,914.71

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Solution

The fourth proportional to 13,884.14, 19,158.96 and 7,914.71 is: 10,921.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884.14 : 19,158.96 = 7,914.71 : x
  2. Step 2: Convert to fraction form
    13,884.14/19,158.96 = 7,914.71/x
  3. Step 3: Cross multiply
    13,884.14x = 19,158.96 × 7,914.71
  4. Step 4: Simplify right side
    13,884.14x = 151,637,689.88
  5. Step 5: Solve for x
    x = 151,637,689.88/13,884.14
  6. Step 6: Final answer
    x = 10,921.65

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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.