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Finding the Fourth Proportional to 21,892.12, 32,832.19 and 7,849.54

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Solution

The fourth proportional to 21,892.12, 32,832.19 and 7,849.54 is: 11,772.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,892.12 : 32,832.19 = 7,849.54 : x
  2. Step 2: Convert to fraction form
    21,892.12/32,832.19 = 7,849.54/x
  3. Step 3: Cross multiply
    21,892.12x = 32,832.19 × 7,849.54
  4. Step 4: Simplify right side
    21,892.12x = 257,717,588.69
  5. Step 5: Solve for x
    x = 257,717,588.69/21,892.12
  6. Step 6: Final answer
    x = 11,772.16

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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.