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Finding the Fourth Proportional to 12,424.83, 18,630.86 and 3,658.61

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Solution

The fourth proportional to 12,424.83, 18,630.86 and 3,658.61 is: 5,486.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,424.83 : 18,630.86 = 3,658.61 : x
  2. Step 2: Convert to fraction form
    12,424.83/18,630.86 = 3,658.61/x
  3. Step 3: Cross multiply
    12,424.83x = 18,630.86 × 3,658.61
  4. Step 4: Simplify right side
    12,424.83x = 68,162,957.55
  5. Step 5: Solve for x
    x = 68,162,957.55/12,424.83
  6. Step 6: Final answer
    x = 5,486.03

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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.