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Finding the Fourth Proportional to 22,879.78, 34,308.40 and 9,548.74

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Solution

The fourth proportional to 22,879.78, 34,308.40 and 9,548.74 is: 14,318.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,879.78 : 34,308.40 = 9,548.74 : x
  2. Step 2: Convert to fraction form
    22,879.78/34,308.40 = 9,548.74/x
  3. Step 3: Cross multiply
    22,879.78x = 34,308.40 × 9,548.74
  4. Step 4: Simplify right side
    22,879.78x = 327,601,991.42
  5. Step 5: Solve for x
    x = 327,601,991.42/22,879.78
  6. Step 6: Final answer
    x = 14,318.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.