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Finding the Fourth Proportional to 12,798.87, 17,662.44 and 7,494.71

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Solution

The fourth proportional to 12,798.87, 17,662.44 and 7,494.71 is: 10,342.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,798.87 : 17,662.44 = 7,494.71 : x
  2. Step 2: Convert to fraction form
    12,798.87/17,662.44 = 7,494.71/x
  3. Step 3: Cross multiply
    12,798.87x = 17,662.44 × 7,494.71
  4. Step 4: Simplify right side
    12,798.87x = 132,374,777.38
  5. Step 5: Solve for x
    x = 132,374,777.38/12,798.87
  6. Step 6: Final answer
    x = 10,342.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.