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Finding the Fourth Proportional to 15,857.18, 21,882.84 and 9,142.76

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Solution

The fourth proportional to 15,857.18, 21,882.84 and 9,142.76 is: 12,616.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857.18 : 21,882.84 = 9,142.76 : x
  2. Step 2: Convert to fraction form
    15,857.18/21,882.84 = 9,142.76/x
  3. Step 3: Cross multiply
    15,857.18x = 21,882.84 × 9,142.76
  4. Step 4: Simplify right side
    15,857.18x = 200,069,554.24
  5. Step 5: Solve for x
    x = 200,069,554.24/15,857.18
  6. Step 6: Final answer
    x = 12,616.97

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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.