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Finding the Fourth Proportional to 22,643.84, 33,961.92 and 6,224

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Solution

The fourth proportional to 22,643.84, 33,961.92 and 6,224 is: 9,334.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,643.84 : 33,961.92 = 6,224 : x
  2. Step 2: Convert to fraction form
    22,643.84/33,961.92 = 6,224/x
  3. Step 3: Cross multiply
    22,643.84x = 33,961.92 × 6,224
  4. Step 4: Simplify right side
    22,643.84x = 211,378,990.08
  5. Step 5: Solve for x
    x = 211,378,990.08/22,643.84
  6. Step 6: Final answer
    x = 9,334.94

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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.