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Finding the Fourth Proportional to 21,852.68, 32,786.70 and 7,062.20

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Solution

The fourth proportional to 21,852.68, 32,786.70 and 7,062.20 is: 10,595.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,852.68 : 32,786.70 = 7,062.20 : x
  2. Step 2: Convert to fraction form
    21,852.68/32,786.70 = 7,062.20/x
  3. Step 3: Cross multiply
    21,852.68x = 32,786.70 × 7,062.20
  4. Step 4: Simplify right side
    21,852.68x = 231,546,232.74
  5. Step 5: Solve for x
    x = 231,546,232.74/21,852.68
  6. Step 6: Final answer
    x = 10,595.78

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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.