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Finding the Fourth Proportional to 12,464.66, 17,195.78 and 7,924.92

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Solution

The fourth proportional to 12,464.66, 17,195.78 and 7,924.92 is: 10,932.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.66 : 17,195.78 = 7,924.92 : x
  2. Step 2: Convert to fraction form
    12,464.66/17,195.78 = 7,924.92/x
  3. Step 3: Cross multiply
    12,464.66x = 17,195.78 × 7,924.92
  4. Step 4: Simplify right side
    12,464.66x = 136,275,094.86
  5. Step 5: Solve for x
    x = 136,275,094.86/12,464.66
  6. Step 6: Final answer
    x = 10,932.92

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