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Finding the Fourth Proportional to 22,957.56, 34,424.39 and 8,164.32

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Solution

The fourth proportional to 22,957.56, 34,424.39 and 8,164.32 is: 12,242.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,957.56 : 34,424.39 = 8,164.32 : x
  2. Step 2: Convert to fraction form
    22,957.56/34,424.39 = 8,164.32/x
  3. Step 3: Cross multiply
    22,957.56x = 34,424.39 × 8,164.32
  4. Step 4: Simplify right side
    22,957.56x = 281,051,735.76
  5. Step 5: Solve for x
    x = 281,051,735.76/22,957.56
  6. Step 6: Final answer
    x = 12,242.23

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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.