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Finding the Fourth Proportional to 15,857.30, 21,883.02 and 9,142.90

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Solution

The fourth proportional to 15,857.30, 21,883.02 and 9,142.90 is: 12,617.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857.30 : 21,883.02 = 9,142.90 : x
  2. Step 2: Convert to fraction form
    15,857.30/21,883.02 = 9,142.90/x
  3. Step 3: Cross multiply
    15,857.30x = 21,883.02 × 9,142.90
  4. Step 4: Simplify right side
    15,857.30x = 200,074,263.56
  5. Step 5: Solve for x
    x = 200,074,263.56/15,857.30
  6. Step 6: Final answer
    x = 12,617.17

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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.