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Finding the Fourth Proportional to 13,892.94, 20,813.13 and 6,864.75

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Solution

The fourth proportional to 13,892.94, 20,813.13 and 6,864.75 is: 10,284.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892.94 : 20,813.13 = 6,864.75 : x
  2. Step 2: Convert to fraction form
    13,892.94/20,813.13 = 6,864.75/x
  3. Step 3: Cross multiply
    13,892.94x = 20,813.13 × 6,864.75
  4. Step 4: Simplify right side
    13,892.94x = 142,876,934.17
  5. Step 5: Solve for x
    x = 142,876,934.17/13,892.94
  6. Step 6: Final answer
    x = 10,284.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.