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Finding the Fourth Proportional to 24,416.66, 33,676.50 and 17,724.44

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Solution

The fourth proportional to 24,416.66, 33,676.50 and 17,724.44 is: 24,446.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,416.66 : 33,676.50 = 17,724.44 : x
  2. Step 2: Convert to fraction form
    24,416.66/33,676.50 = 17,724.44/x
  3. Step 3: Cross multiply
    24,416.66x = 33,676.50 × 17,724.44
  4. Step 4: Simplify right side
    24,416.66x = 596,896,935.28
  5. Step 5: Solve for x
    x = 596,896,935.28/24,416.66
  6. Step 6: Final answer
    x = 24,446.30

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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.