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Finding the Fourth Proportional to 22,132.34, 33,195.06 and 12,142

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Solution

The fourth proportional to 22,132.34, 33,195.06 and 12,142 is: 18,211.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,132.34 : 33,195.06 = 12,142 : x
  2. Step 2: Convert to fraction form
    22,132.34/33,195.06 = 12,142/x
  3. Step 3: Cross multiply
    22,132.34x = 33,195.06 × 12,142
  4. Step 4: Simplify right side
    22,132.34x = 403,054,418.52
  5. Step 5: Solve for x
    x = 403,054,418.52/22,132.34
  6. Step 6: Final answer
    x = 18,211.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.