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Finding the Fourth Proportional to 22,552.79, 33,832.42 and 6,971.63

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Solution

The fourth proportional to 22,552.79, 33,832.42 and 6,971.63 is: 10,458.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,552.79 : 33,832.42 = 6,971.63 : x
  2. Step 2: Convert to fraction form
    22,552.79/33,832.42 = 6,971.63/x
  3. Step 3: Cross multiply
    22,552.79x = 33,832.42 × 6,971.63
  4. Step 4: Simplify right side
    22,552.79x = 235,866,927.65
  5. Step 5: Solve for x
    x = 235,866,927.65/22,552.79
  6. Step 6: Final answer
    x = 10,458.44

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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.