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Finding the Fourth Proportional to 22,349.14, 30,848.02 and 12,794.38

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Solution

The fourth proportional to 22,349.14, 30,848.02 and 12,794.38 is: 17,659.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,349.14 : 30,848.02 = 12,794.38 : x
  2. Step 2: Convert to fraction form
    22,349.14/30,848.02 = 12,794.38/x
  3. Step 3: Cross multiply
    22,349.14x = 30,848.02 × 12,794.38
  4. Step 4: Simplify right side
    22,349.14x = 394,681,181.02
  5. Step 5: Solve for x
    x = 394,681,181.02/22,349.14
  6. Step 6: Final answer
    x = 17,659.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.