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Finding the Fourth Proportional to 23,630, 32,608.35 and 12,874.91

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Solution

The fourth proportional to 23,630, 32,608.35 and 12,874.91 is: 17,766.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,630 : 32,608.35 = 12,874.91 : x
  2. Step 2: Convert to fraction form
    23,630/32,608.35 = 12,874.91/x
  3. Step 3: Cross multiply
    23,630x = 32,608.35 × 12,874.91
  4. Step 4: Simplify right side
    23,630x = 419,829,571.50
  5. Step 5: Solve for x
    x = 419,829,571.50/23,630
  6. Step 6: Final answer
    x = 17,766.80

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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.