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Finding the Fourth Proportional to 22,132.48, 30,541.44 and 12,196.48

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Solution

The fourth proportional to 22,132.48, 30,541.44 and 12,196.48 is: 16,830.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,132.48 : 30,541.44 = 12,196.48 : x
  2. Step 2: Convert to fraction form
    22,132.48/30,541.44 = 12,196.48/x
  3. Step 3: Cross multiply
    22,132.48x = 30,541.44 × 12,196.48
  4. Step 4: Simplify right side
    22,132.48x = 372,498,062.13
  5. Step 5: Solve for x
    x = 372,498,062.13/22,132.48
  6. Step 6: Final answer
    x = 16,830.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.