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Finding the Fourth Proportional to 24,416.66, 33,694.80 and 13,806.28

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Solution

The fourth proportional to 24,416.66, 33,694.80 and 13,806.28 is: 19,052.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,416.66 : 33,694.80 = 13,806.28 : x
  2. Step 2: Convert to fraction form
    24,416.66/33,694.80 = 13,806.28/x
  3. Step 3: Cross multiply
    24,416.66x = 33,694.80 × 13,806.28
  4. Step 4: Simplify right side
    24,416.66x = 465,199,843.34
  5. Step 5: Solve for x
    x = 465,199,843.34/24,416.66
  6. Step 6: Final answer
    x = 19,052.56

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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.