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Finding the Fourth Proportional to 23,717.31, 35,581.05 and 7,078.65

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Solution

The fourth proportional to 23,717.31, 35,581.05 and 7,078.65 is: 10,619.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,717.31 : 35,581.05 = 7,078.65 : x
  2. Step 2: Convert to fraction form
    23,717.31/35,581.05 = 7,078.65/x
  3. Step 3: Cross multiply
    23,717.31x = 35,581.05 × 7,078.65
  4. Step 4: Simplify right side
    23,717.31x = 251,865,799.58
  5. Step 5: Solve for x
    x = 251,865,799.58/23,717.31
  6. Step 6: Final answer
    x = 10,619.49

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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.