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Finding the Fourth Proportional to 22,014.32, 33,023.14 and 10,909.82

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Solution

The fourth proportional to 22,014.32, 33,023.14 and 10,909.82 is: 16,365.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,014.32 : 33,023.14 = 10,909.82 : x
  2. Step 2: Convert to fraction form
    22,014.32/33,023.14 = 10,909.82/x
  3. Step 3: Cross multiply
    22,014.32x = 33,023.14 × 10,909.82
  4. Step 4: Simplify right side
    22,014.32x = 360,276,568.52
  5. Step 5: Solve for x
    x = 360,276,568.52/22,014.32
  6. Step 6: Final answer
    x = 16,365.56

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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.