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Finding the Fourth Proportional to 11,744.83, 17,612.05 and 8,444.13

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Solution

The fourth proportional to 11,744.83, 17,612.05 and 8,444.13 is: 12,662.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.83 : 17,612.05 = 8,444.13 : x
  2. Step 2: Convert to fraction form
    11,744.83/17,612.05 = 8,444.13/x
  3. Step 3: Cross multiply
    11,744.83x = 17,612.05 × 8,444.13
  4. Step 4: Simplify right side
    11,744.83x = 148,718,439.77
  5. Step 5: Solve for x
    x = 148,718,439.77/11,744.83
  6. Step 6: Final answer
    x = 12,662.46

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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.