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Finding the Fourth Proportional to 21,833.68, 32,752.96 and 7,796.96

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Solution

The fourth proportional to 21,833.68, 32,752.96 and 7,796.96 is: 11,696.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,833.68 : 32,752.96 = 7,796.96 : x
  2. Step 2: Convert to fraction form
    21,833.68/32,752.96 = 7,796.96/x
  3. Step 3: Cross multiply
    21,833.68x = 32,752.96 × 7,796.96
  4. Step 4: Simplify right side
    21,833.68x = 255,373,519.00
  5. Step 5: Solve for x
    x = 255,373,519.00/21,833.68
  6. Step 6: Final answer
    x = 11,696.31

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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.