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Finding the Fourth Proportional to 22,124.32, 33,189.60 and 8,272

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Solution

The fourth proportional to 22,124.32, 33,189.60 and 8,272 is: 12,409.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,124.32 : 33,189.60 = 8,272 : x
  2. Step 2: Convert to fraction form
    22,124.32/33,189.60 = 8,272/x
  3. Step 3: Cross multiply
    22,124.32x = 33,189.60 × 8,272
  4. Step 4: Simplify right side
    22,124.32x = 274,544,371.20
  5. Step 5: Solve for x
    x = 274,544,371.20/22,124.32
  6. Step 6: Final answer
    x = 12,409.17

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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.