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Finding the Fourth Proportional to 12,843.86, 17,717.43 and 10,456.40

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Solution

The fourth proportional to 12,843.86, 17,717.43 and 10,456.40 is: 14,424.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,843.86 : 17,717.43 = 10,456.40 : x
  2. Step 2: Convert to fraction form
    12,843.86/17,717.43 = 10,456.40/x
  3. Step 3: Cross multiply
    12,843.86x = 17,717.43 × 10,456.40
  4. Step 4: Simplify right side
    12,843.86x = 185,260,535.05
  5. Step 5: Solve for x
    x = 185,260,535.05/12,843.86
  6. Step 6: Final answer
    x = 14,424.05

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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.