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Finding the Fourth Proportional to 17,924.72, 26,886.47 and 6,831

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Solution

The fourth proportional to 17,924.72, 26,886.47 and 6,831 is: 10,246.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,924.72 : 26,886.47 = 6,831 : x
  2. Step 2: Convert to fraction form
    17,924.72/26,886.47 = 6,831/x
  3. Step 3: Cross multiply
    17,924.72x = 26,886.47 × 6,831
  4. Step 4: Simplify right side
    17,924.72x = 183,661,442.42
  5. Step 5: Solve for x
    x = 183,661,442.42/17,924.72
  6. Step 6: Final answer
    x = 10,246.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.