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Finding the Fourth Proportional to 22,726.50, 34,095.24 and 7,144.08

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Solution

The fourth proportional to 22,726.50, 34,095.24 and 7,144.08 is: 10,717.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,726.50 : 34,095.24 = 7,144.08 : x
  2. Step 2: Convert to fraction form
    22,726.50/34,095.24 = 7,144.08/x
  3. Step 3: Cross multiply
    22,726.50x = 34,095.24 × 7,144.08
  4. Step 4: Simplify right side
    22,726.50x = 243,579,122.18
  5. Step 5: Solve for x
    x = 243,579,122.18/22,726.50
  6. Step 6: Final answer
    x = 10,717.85

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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.