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Finding the Fourth Proportional to 22,499.84, 33,745.92 and 6,080

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Solution

The fourth proportional to 22,499.84, 33,745.92 and 6,080 is: 9,118.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,499.84 : 33,745.92 = 6,080 : x
  2. Step 2: Convert to fraction form
    22,499.84/33,745.92 = 6,080/x
  3. Step 3: Cross multiply
    22,499.84x = 33,745.92 × 6,080
  4. Step 4: Simplify right side
    22,499.84x = 205,175,193.60
  5. Step 5: Solve for x
    x = 205,175,193.60/22,499.84
  6. Step 6: Final answer
    x = 9,118.96

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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.