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Finding the Fourth Proportional to 22,853.72, 34,292.11 and 10,365.78

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Solution

The fourth proportional to 22,853.72, 34,292.11 and 10,365.78 is: 15,553.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,853.72 : 34,292.11 = 10,365.78 : x
  2. Step 2: Convert to fraction form
    22,853.72/34,292.11 = 10,365.78/x
  3. Step 3: Cross multiply
    22,853.72x = 34,292.11 × 10,365.78
  4. Step 4: Simplify right side
    22,853.72x = 355,464,468.00
  5. Step 5: Solve for x
    x = 355,464,468.00/22,853.72
  6. Step 6: Final answer
    x = 15,553.90

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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.