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Finding the Fourth Proportional to 22,807.92, 31,474.80 and 12,736.26

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Solution

The fourth proportional to 22,807.92, 31,474.80 and 12,736.26 is: 17,575.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,807.92 : 31,474.80 = 12,736.26 : x
  2. Step 2: Convert to fraction form
    22,807.92/31,474.80 = 12,736.26/x
  3. Step 3: Cross multiply
    22,807.92x = 31,474.80 × 12,736.26
  4. Step 4: Simplify right side
    22,807.92x = 400,871,236.25
  5. Step 5: Solve for x
    x = 400,871,236.25/22,807.92
  6. Step 6: Final answer
    x = 17,575.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.