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Finding the Fourth Proportional to 24,416.97, 33,693.83 and 13,660

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Solution

The fourth proportional to 24,416.97, 33,693.83 and 13,660 is: 18,849.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,416.97 : 33,693.83 = 13,660 : x
  2. Step 2: Convert to fraction form
    24,416.97/33,693.83 = 13,660/x
  3. Step 3: Cross multiply
    24,416.97x = 33,693.83 × 13,660
  4. Step 4: Simplify right side
    24,416.97x = 460,257,717.80
  5. Step 5: Solve for x
    x = 460,257,717.80/24,416.97
  6. Step 6: Final answer
    x = 18,849.91

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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.