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Finding the Fourth Proportional to 22,472.94, 33,713.06 and 8,434.06

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Solution

The fourth proportional to 22,472.94, 33,713.06 and 8,434.06 is: 12,652.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,472.94 : 33,713.06 = 8,434.06 : x
  2. Step 2: Convert to fraction form
    22,472.94/33,713.06 = 8,434.06/x
  3. Step 3: Cross multiply
    22,472.94x = 33,713.06 × 8,434.06
  4. Step 4: Simplify right side
    22,472.94x = 284,337,891.81
  5. Step 5: Solve for x
    x = 284,337,891.81/22,472.94
  6. Step 6: Final answer
    x = 12,652.45

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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.