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Finding the Fourth Proportional to 17,717.44, 24,451.68 and 10,264

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Solution

The fourth proportional to 17,717.44, 24,451.68 and 10,264 is: 14,165.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,717.44 : 24,451.68 = 10,264 : x
  2. Step 2: Convert to fraction form
    17,717.44/24,451.68 = 10,264/x
  3. Step 3: Cross multiply
    17,717.44x = 24,451.68 × 10,264
  4. Step 4: Simplify right side
    17,717.44x = 250,972,043.52
  5. Step 5: Solve for x
    x = 250,972,043.52/17,717.44
  6. Step 6: Final answer
    x = 14,165.25

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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.