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Finding the Fourth Proportional to 21,753.24, 30,024.30 and 12,327

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Solution

The fourth proportional to 21,753.24, 30,024.30 and 12,327 is: 17,014.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,753.24 : 30,024.30 = 12,327 : x
  2. Step 2: Convert to fraction form
    21,753.24/30,024.30 = 12,327/x
  3. Step 3: Cross multiply
    21,753.24x = 30,024.30 × 12,327
  4. Step 4: Simplify right side
    21,753.24x = 370,109,546.10
  5. Step 5: Solve for x
    x = 370,109,546.10/21,753.24
  6. Step 6: Final answer
    x = 17,014.00

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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.