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Finding the Fourth Proportional to 12,102.08, 18,120.48 and 8,396.48

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Solution

The fourth proportional to 12,102.08, 18,120.48 and 8,396.48 is: 12,572.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.08 : 18,120.48 = 8,396.48 : x
  2. Step 2: Convert to fraction form
    12,102.08/18,120.48 = 8,396.48/x
  3. Step 3: Cross multiply
    12,102.08x = 18,120.48 × 8,396.48
  4. Step 4: Simplify right side
    12,102.08x = 152,148,247.91
  5. Step 5: Solve for x
    x = 152,148,247.91/12,102.08
  6. Step 6: Final answer
    x = 12,572.07

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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.