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Finding the Fourth Proportional to 24,200.97, 36,302.82 and 8,618.60

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Solution

The fourth proportional to 24,200.97, 36,302.82 and 8,618.60 is: 12,928.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,200.97 : 36,302.82 = 8,618.60 : x
  2. Step 2: Convert to fraction form
    24,200.97/36,302.82 = 8,618.60/x
  3. Step 3: Cross multiply
    24,200.97x = 36,302.82 × 8,618.60
  4. Step 4: Simplify right side
    24,200.97x = 312,879,484.45
  5. Step 5: Solve for x
    x = 312,879,484.45/24,200.97
  6. Step 6: Final answer
    x = 12,928.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.