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Finding the Fourth Proportional to 22,765.26, 31,415.10 and 16,794.78

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Solution

The fourth proportional to 22,765.26, 31,415.10 and 16,794.78 is: 23,176.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,765.26 : 31,415.10 = 16,794.78 : x
  2. Step 2: Convert to fraction form
    22,765.26/31,415.10 = 16,794.78/x
  3. Step 3: Cross multiply
    22,765.26x = 31,415.10 × 16,794.78
  4. Step 4: Simplify right side
    22,765.26x = 527,609,693.18
  5. Step 5: Solve for x
    x = 527,609,693.18/22,765.26
  6. Step 6: Final answer
    x = 23,176.09

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