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Finding the Fourth Proportional to 17,713.50, 24,447.06 and 11,424.66

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Solution

The fourth proportional to 17,713.50, 24,447.06 and 11,424.66 is: 15,767.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,713.50 : 24,447.06 = 11,424.66 : x
  2. Step 2: Convert to fraction form
    17,713.50/24,447.06 = 11,424.66/x
  3. Step 3: Cross multiply
    17,713.50x = 24,447.06 × 11,424.66
  4. Step 4: Simplify right side
    17,713.50x = 279,299,348.50
  5. Step 5: Solve for x
    x = 279,299,348.50/17,713.50
  6. Step 6: Final answer
    x = 15,767.60

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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.