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Finding the Fourth Proportional to 22,718.25, 34,077.51 and 7,927.11

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Solution

The fourth proportional to 22,718.25, 34,077.51 and 7,927.11 is: 11,890.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,718.25 : 34,077.51 = 7,927.11 : x
  2. Step 2: Convert to fraction form
    22,718.25/34,077.51 = 7,927.11/x
  3. Step 3: Cross multiply
    22,718.25x = 34,077.51 × 7,927.11
  4. Step 4: Simplify right side
    22,718.25x = 270,136,170.30
  5. Step 5: Solve for x
    x = 270,136,170.30/22,718.25
  6. Step 6: Final answer
    x = 11,890.71

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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.