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Finding the Fourth Proportional to 22,494.86, 33,719.70 and 7,693.66

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Solution

The fourth proportional to 22,494.86, 33,719.70 and 7,693.66 is: 11,532.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,494.86 : 33,719.70 = 7,693.66 : x
  2. Step 2: Convert to fraction form
    22,494.86/33,719.70 = 7,693.66/x
  3. Step 3: Cross multiply
    22,494.86x = 33,719.70 × 7,693.66
  4. Step 4: Simplify right side
    22,494.86x = 259,427,907.10
  5. Step 5: Solve for x
    x = 259,427,907.10/22,494.86
  6. Step 6: Final answer
    x = 11,532.76

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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.