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Finding the Fourth Proportional to 22,516.92, 33,768 and 9,372.96

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Solution

The fourth proportional to 22,516.92, 33,768 and 9,372.96 is: 14,056.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,516.92 : 33,768 = 9,372.96 : x
  2. Step 2: Convert to fraction form
    22,516.92/33,768 = 9,372.96/x
  3. Step 3: Cross multiply
    22,516.92x = 33,768 × 9,372.96
  4. Step 4: Simplify right side
    22,516.92x = 316,506,113.28
  5. Step 5: Solve for x
    x = 316,506,113.28/22,516.92
  6. Step 6: Final answer
    x = 14,056.37

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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.