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Finding the Fourth Proportional to 21,917.94, 32,856.09 and 7,116.49

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Solution

The fourth proportional to 21,917.94, 32,856.09 and 7,116.49 is: 10,667.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,917.94 : 32,856.09 = 7,116.49 : x
  2. Step 2: Convert to fraction form
    21,917.94/32,856.09 = 7,116.49/x
  3. Step 3: Cross multiply
    21,917.94x = 32,856.09 × 7,116.49
  4. Step 4: Simplify right side
    21,917.94x = 233,820,035.92
  5. Step 5: Solve for x
    x = 233,820,035.92/21,917.94
  6. Step 6: Final answer
    x = 10,667.97

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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.