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Finding the Fourth Proportional to 22,193.06, 33,291.88 and 7,398

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Solution

The fourth proportional to 22,193.06, 33,291.88 and 7,398 is: 11,097.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,193.06 : 33,291.88 = 7,398 : x
  2. Step 2: Convert to fraction form
    22,193.06/33,291.88 = 7,398/x
  3. Step 3: Cross multiply
    22,193.06x = 33,291.88 × 7,398
  4. Step 4: Simplify right side
    22,193.06x = 246,293,328.24
  5. Step 5: Solve for x
    x = 246,293,328.24/22,193.06
  6. Step 6: Final answer
    x = 11,097.76

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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.