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Finding the Fourth Proportional to 22,564.66, 33,850.23 and 6,983.50

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Solution

The fourth proportional to 22,564.66, 33,850.23 and 6,983.50 is: 10,476.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,564.66 : 33,850.23 = 6,983.50 : x
  2. Step 2: Convert to fraction form
    22,564.66/33,850.23 = 6,983.50/x
  3. Step 3: Cross multiply
    22,564.66x = 33,850.23 × 6,983.50
  4. Step 4: Simplify right side
    22,564.66x = 236,393,081.21
  5. Step 5: Solve for x
    x = 236,393,081.21/22,564.66
  6. Step 6: Final answer
    x = 10,476.25

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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.