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Finding the Fourth Proportional to 22,007.76, 32,991.16 and 8,146

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Solution

The fourth proportional to 22,007.76, 32,991.16 and 8,146 is: 12,211.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,007.76 : 32,991.16 = 8,146 : x
  2. Step 2: Convert to fraction form
    22,007.76/32,991.16 = 8,146/x
  3. Step 3: Cross multiply
    22,007.76x = 32,991.16 × 8,146
  4. Step 4: Simplify right side
    22,007.76x = 268,745,989.36
  5. Step 5: Solve for x
    x = 268,745,989.36/22,007.76
  6. Step 6: Final answer
    x = 12,211.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.