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Finding the Fourth Proportional to 15,204.86, 22,775.50 and 12,227.20

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Solution

The fourth proportional to 15,204.86, 22,775.50 and 12,227.20 is: 18,315.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,204.86 : 22,775.50 = 12,227.20 : x
  2. Step 2: Convert to fraction form
    15,204.86/22,775.50 = 12,227.20/x
  3. Step 3: Cross multiply
    15,204.86x = 22,775.50 × 12,227.20
  4. Step 4: Simplify right side
    15,204.86x = 278,480,593.60
  5. Step 5: Solve for x
    x = 278,480,593.60/15,204.86
  6. Step 6: Final answer
    x = 18,315.24

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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.