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Finding the Fourth Proportional to 22,516.72, 33,765.36 and 8,656

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Solution

The fourth proportional to 22,516.72, 33,765.36 and 8,656 is: 12,980.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,516.72 : 33,765.36 = 8,656 : x
  2. Step 2: Convert to fraction form
    22,516.72/33,765.36 = 8,656/x
  3. Step 3: Cross multiply
    22,516.72x = 33,765.36 × 8,656
  4. Step 4: Simplify right side
    22,516.72x = 292,272,956.16
  5. Step 5: Solve for x
    x = 292,272,956.16/22,516.72
  6. Step 6: Final answer
    x = 12,980.26

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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.