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Finding the Fourth Proportional to 15,184.42, 22,728.02 and 8,147.14

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Solution

The fourth proportional to 15,184.42, 22,728.02 and 8,147.14 is: 12,194.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,184.42 : 22,728.02 = 8,147.14 : x
  2. Step 2: Convert to fraction form
    15,184.42/22,728.02 = 8,147.14/x
  3. Step 3: Cross multiply
    15,184.42x = 22,728.02 × 8,147.14
  4. Step 4: Simplify right side
    15,184.42x = 185,168,360.86
  5. Step 5: Solve for x
    x = 185,168,360.86/15,184.42
  6. Step 6: Final answer
    x = 12,194.63

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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.