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Finding the Fourth Proportional to 13,891.34, 19,169.85 and 7,923.11

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Solution

The fourth proportional to 13,891.34, 19,169.85 and 7,923.11 is: 10,933.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,891.34 : 19,169.85 = 7,923.11 : x
  2. Step 2: Convert to fraction form
    13,891.34/19,169.85 = 7,923.11/x
  3. Step 3: Cross multiply
    13,891.34x = 19,169.85 × 7,923.11
  4. Step 4: Simplify right side
    13,891.34x = 151,884,704.67
  5. Step 5: Solve for x
    x = 151,884,704.67/13,891.34
  6. Step 6: Final answer
    x = 10,933.77

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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.