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Finding the Fourth Proportional to 22,264.74, 33,382.44 and 9,103.86

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Solution

The fourth proportional to 22,264.74, 33,382.44 and 9,103.86 is: 13,649.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,264.74 : 33,382.44 = 9,103.86 : x
  2. Step 2: Convert to fraction form
    22,264.74/33,382.44 = 9,103.86/x
  3. Step 3: Cross multiply
    22,264.74x = 33,382.44 × 9,103.86
  4. Step 4: Simplify right side
    22,264.74x = 303,909,060.22
  5. Step 5: Solve for x
    x = 303,909,060.22/22,264.74
  6. Step 6: Final answer
    x = 13,649.79

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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.