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Finding the Fourth Proportional to 15,269.10, 22,906.92 and 4,738.90

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Solution

The fourth proportional to 15,269.10, 22,906.92 and 4,738.90 is: 7,109.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,269.10 : 22,906.92 = 4,738.90 : x
  2. Step 2: Convert to fraction form
    15,269.10/22,906.92 = 4,738.90/x
  3. Step 3: Cross multiply
    15,269.10x = 22,906.92 × 4,738.90
  4. Step 4: Simplify right side
    15,269.10x = 108,553,603.19
  5. Step 5: Solve for x
    x = 108,553,603.19/15,269.10
  6. Step 6: Final answer
    x = 7,109.36

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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.