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Finding the Fourth Proportional to 22,552.66, 33,832.23 and 6,971.50

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Solution

The fourth proportional to 22,552.66, 33,832.23 and 6,971.50 is: 10,458.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,552.66 : 33,832.23 = 6,971.50 : x
  2. Step 2: Convert to fraction form
    22,552.66/33,832.23 = 6,971.50/x
  3. Step 3: Cross multiply
    22,552.66x = 33,832.23 × 6,971.50
  4. Step 4: Simplify right side
    22,552.66x = 235,861,391.45
  5. Step 5: Solve for x
    x = 235,861,391.45/22,552.66
  6. Step 6: Final answer
    x = 10,458.25

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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.