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Finding the Fourth Proportional to 13,874.14, 19,141.71 and 7,823.62

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Solution

The fourth proportional to 13,874.14, 19,141.71 and 7,823.62 is: 10,794.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.14 : 19,141.71 = 7,823.62 : x
  2. Step 2: Convert to fraction form
    13,874.14/19,141.71 = 7,823.62/x
  3. Step 3: Cross multiply
    13,874.14x = 19,141.71 × 7,823.62
  4. Step 4: Simplify right side
    13,874.14x = 149,757,465.19
  5. Step 5: Solve for x
    x = 149,757,465.19/13,874.14
  6. Step 6: Final answer
    x = 10,794.00

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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.