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Finding the Fourth Proportional to 22,484.31, 33,709.12 and 8,444.03

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Solution

The fourth proportional to 22,484.31, 33,709.12 and 8,444.03 is: 12,659.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,484.31 : 33,709.12 = 8,444.03 : x
  2. Step 2: Convert to fraction form
    22,484.31/33,709.12 = 8,444.03/x
  3. Step 3: Cross multiply
    22,484.31x = 33,709.12 × 8,444.03
  4. Step 4: Simplify right side
    22,484.31x = 284,640,630.90
  5. Step 5: Solve for x
    x = 284,640,630.90/22,484.31
  6. Step 6: Final answer
    x = 12,659.52

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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.