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Finding the Fourth Proportional to 18,224.92, 27,337.92 and 12,024.64

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Solution

The fourth proportional to 18,224.92, 27,337.92 and 12,024.64 is: 18,037.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,224.92 : 27,337.92 = 12,024.64 : x
  2. Step 2: Convert to fraction form
    18,224.92/27,337.92 = 12,024.64/x
  3. Step 3: Cross multiply
    18,224.92x = 27,337.92 × 12,024.64
  4. Step 4: Simplify right side
    18,224.92x = 328,728,646.35
  5. Step 5: Solve for x
    x = 328,728,646.35/18,224.92
  6. Step 6: Final answer
    x = 18,037.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.