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Finding the Fourth Proportional to 22,185.26, 33,266.66 and 7,389

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Solution

The fourth proportional to 22,185.26, 33,266.66 and 7,389 is: 11,079.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,185.26 : 33,266.66 = 7,389 : x
  2. Step 2: Convert to fraction form
    22,185.26/33,266.66 = 7,389/x
  3. Step 3: Cross multiply
    22,185.26x = 33,266.66 × 7,389
  4. Step 4: Simplify right side
    22,185.26x = 245,807,350.74
  5. Step 5: Solve for x
    x = 245,807,350.74/22,185.26
  6. Step 6: Final answer
    x = 11,079.76

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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.