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Finding the Fourth Proportional to 22,472.64, 33,712.47 and 9,997.02

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Solution

The fourth proportional to 22,472.64, 33,712.47 and 9,997.02 is: 14,997.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,472.64 : 33,712.47 = 9,997.02 : x
  2. Step 2: Convert to fraction form
    22,472.64/33,712.47 = 9,997.02/x
  3. Step 3: Cross multiply
    22,472.64x = 33,712.47 × 9,997.02
  4. Step 4: Simplify right side
    22,472.64x = 337,024,236.84
  5. Step 5: Solve for x
    x = 337,024,236.84/22,472.64
  6. Step 6: Final answer
    x = 14,997.09

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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.