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Finding the Fourth Proportional to 24,118.86, 33,284.32 and 13,364.09

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Solution

The fourth proportional to 24,118.86, 33,284.32 and 13,364.09 is: 18,442.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,118.86 : 33,284.32 = 13,364.09 : x
  2. Step 2: Convert to fraction form
    24,118.86/33,284.32 = 13,364.09/x
  3. Step 3: Cross multiply
    24,118.86x = 33,284.32 × 13,364.09
  4. Step 4: Simplify right side
    24,118.86x = 444,814,573.05
  5. Step 5: Solve for x
    x = 444,814,573.05/24,118.86
  6. Step 6: Final answer
    x = 18,442.60

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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.