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Finding the Fourth Proportional to 21,643.28, 29,859.50 and 13,142.18

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Solution

The fourth proportional to 21,643.28, 29,859.50 and 13,142.18 is: 18,131.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,643.28 : 29,859.50 = 13,142.18 : x
  2. Step 2: Convert to fraction form
    21,643.28/29,859.50 = 13,142.18/x
  3. Step 3: Cross multiply
    21,643.28x = 29,859.50 × 13,142.18
  4. Step 4: Simplify right side
    21,643.28x = 392,418,887.90
  5. Step 5: Solve for x
    x = 392,418,887.90/21,643.28
  6. Step 6: Final answer
    x = 18,131.21

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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.