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Finding the Fourth Proportional to 22,652.67, 33,944.36 and 9,497.87

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Solution

The fourth proportional to 22,652.67, 33,944.36 and 9,497.87 is: 14,232.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,652.67 : 33,944.36 = 9,497.87 : x
  2. Step 2: Convert to fraction form
    22,652.67/33,944.36 = 9,497.87/x
  3. Step 3: Cross multiply
    22,652.67x = 33,944.36 × 9,497.87
  4. Step 4: Simplify right side
    22,652.67x = 322,398,901.30
  5. Step 5: Solve for x
    x = 322,398,901.30/22,652.67
  6. Step 6: Final answer
    x = 14,232.27

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1.5x scale

Why These Related Problems?

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