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Finding the Fourth Proportional to 22,142.74, 30,556.53 and 12,206.74

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Solution

The fourth proportional to 22,142.74, 30,556.53 and 12,206.74 is: 16,845.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,142.74 : 30,556.53 = 12,206.74 : x
  2. Step 2: Convert to fraction form
    22,142.74/30,556.53 = 12,206.74/x
  3. Step 3: Cross multiply
    22,142.74x = 30,556.53 × 12,206.74
  4. Step 4: Simplify right side
    22,142.74x = 372,995,617.01
  5. Step 5: Solve for x
    x = 372,995,617.01/22,142.74
  6. Step 6: Final answer
    x = 16,845.05

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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.