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Finding the Fourth Proportional to 22,357.68, 33,541.92 and 15,796.64

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Solution

The fourth proportional to 22,357.68, 33,541.92 and 15,796.64 is: 23,698.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,357.68 : 33,541.92 = 15,796.64 : x
  2. Step 2: Convert to fraction form
    22,357.68/33,541.92 = 15,796.64/x
  3. Step 3: Cross multiply
    22,357.68x = 33,541.92 × 15,796.64
  4. Step 4: Simplify right side
    22,357.68x = 529,849,635.15
  5. Step 5: Solve for x
    x = 529,849,635.15/22,357.68
  6. Step 6: Final answer
    x = 23,698.78

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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.