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Finding the Fourth Proportional to 21,906.40, 32,856.40 and 10,810.24

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Solution

The fourth proportional to 21,906.40, 32,856.40 and 10,810.24 is: 16,213.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,906.40 : 32,856.40 = 10,810.24 : x
  2. Step 2: Convert to fraction form
    21,906.40/32,856.40 = 10,810.24/x
  3. Step 3: Cross multiply
    21,906.40x = 32,856.40 × 10,810.24
  4. Step 4: Simplify right side
    21,906.40x = 355,185,569.54
  5. Step 5: Solve for x
    x = 355,185,569.54/21,906.40
  6. Step 6: Final answer
    x = 16,213.78

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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.