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Finding the Fourth Proportional to 17,740.32, 26,610.62 and 7,876.96

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Solution

The fourth proportional to 17,740.32, 26,610.62 and 7,876.96 is: 11,815.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,740.32 : 26,610.62 = 7,876.96 : x
  2. Step 2: Convert to fraction form
    17,740.32/26,610.62 = 7,876.96/x
  3. Step 3: Cross multiply
    17,740.32x = 26,610.62 × 7,876.96
  4. Step 4: Simplify right side
    17,740.32x = 209,610,789.32
  5. Step 5: Solve for x
    x = 209,610,789.32/17,740.32
  6. Step 6: Final answer
    x = 11,815.50

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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.