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Finding the Fourth Proportional to 24,761.82, 37,140.08 and 6,992.04

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Solution

The fourth proportional to 24,761.82, 37,140.08 and 6,992.04 is: 10,487.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,761.82 : 37,140.08 = 6,992.04 : x
  2. Step 2: Convert to fraction form
    24,761.82/37,140.08 = 6,992.04/x
  3. Step 3: Cross multiply
    24,761.82x = 37,140.08 × 6,992.04
  4. Step 4: Simplify right side
    24,761.82x = 259,684,924.96
  5. Step 5: Solve for x
    x = 259,684,924.96/24,761.82
  6. Step 6: Final answer
    x = 10,487.31

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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.