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Finding the Fourth Proportional to 15,857.25, 21,882.95 and 9,142.83

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Solution

The fourth proportional to 15,857.25, 21,882.95 and 9,142.83 is: 12,617.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857.25 : 21,882.95 = 9,142.83 : x
  2. Step 2: Convert to fraction form
    15,857.25/21,882.95 = 9,142.83/x
  3. Step 3: Cross multiply
    15,857.25x = 21,882.95 × 9,142.83
  4. Step 4: Simplify right side
    15,857.25x = 200,072,046.03
  5. Step 5: Solve for x
    x = 200,072,046.03/15,857.25
  6. Step 6: Final answer
    x = 12,617.07

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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.