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Finding the Fourth Proportional to 15,906.12, 23,841.18 and 8,098.44

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Solution

The fourth proportional to 15,906.12, 23,841.18 and 8,098.44 is: 12,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,906.12 : 23,841.18 = 8,098.44 : x
  2. Step 2: Convert to fraction form
    15,906.12/23,841.18 = 8,098.44/x
  3. Step 3: Cross multiply
    15,906.12x = 23,841.18 × 8,098.44
  4. Step 4: Simplify right side
    15,906.12x = 193,076,365.76
  5. Step 5: Solve for x
    x = 193,076,365.76/15,906.12
  6. Step 6: Final answer
    x = 12,138.50

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1.5x scale

Why These Related Problems?

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