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Finding the Fourth Proportional to 13,906.14, 19,191.85 and 7,938.71

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Solution

The fourth proportional to 13,906.14, 19,191.85 and 7,938.71 is: 10,956.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.14 : 19,191.85 = 7,938.71 : x
  2. Step 2: Convert to fraction form
    13,906.14/19,191.85 = 7,938.71/x
  3. Step 3: Cross multiply
    13,906.14x = 19,191.85 × 7,938.71
  4. Step 4: Simplify right side
    13,906.14x = 152,358,415.71
  5. Step 5: Solve for x
    x = 152,358,415.71/13,906.14
  6. Step 6: Final answer
    x = 10,956.19

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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.