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Finding the Fourth Proportional to 24,511.32, 33,814.80 and 16,336.80

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Solution

The fourth proportional to 24,511.32, 33,814.80 and 16,336.80 is: 22,537.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,511.32 : 33,814.80 = 16,336.80 : x
  2. Step 2: Convert to fraction form
    24,511.32/33,814.80 = 16,336.80/x
  3. Step 3: Cross multiply
    24,511.32x = 33,814.80 × 16,336.80
  4. Step 4: Simplify right side
    24,511.32x = 552,425,624.64
  5. Step 5: Solve for x
    x = 552,425,624.64/24,511.32
  6. Step 6: Final answer
    x = 22,537.57

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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.