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Finding the Fourth Proportional to 21,892.56, 32,823.84 and 7,852.28

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Solution

The fourth proportional to 21,892.56, 32,823.84 and 7,852.28 is: 11,773.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,892.56 : 32,823.84 = 7,852.28 : x
  2. Step 2: Convert to fraction form
    21,892.56/32,823.84 = 7,852.28/x
  3. Step 3: Cross multiply
    21,892.56x = 32,823.84 × 7,852.28
  4. Step 4: Simplify right side
    21,892.56x = 257,741,982.36
  5. Step 5: Solve for x
    x = 257,741,982.36/21,892.56
  6. Step 6: Final answer
    x = 11,773.04

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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.