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Finding the Fourth Proportional to 15,857.12, 21,882.53 and 9,143.03

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Solution

The fourth proportional to 15,857.12, 21,882.53 and 9,143.03 is: 12,617.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857.12 : 21,882.53 = 9,143.03 : x
  2. Step 2: Convert to fraction form
    15,857.12/21,882.53 = 9,143.03/x
  3. Step 3: Cross multiply
    15,857.12x = 21,882.53 × 9,143.03
  4. Step 4: Simplify right side
    15,857.12x = 200,072,557.03
  5. Step 5: Solve for x
    x = 200,072,557.03/15,857.12
  6. Step 6: Final answer
    x = 12,617.21

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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.