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Finding the Fourth Proportional to 22,726, 34,109.68 and 11,640.32

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Solution

The fourth proportional to 22,726, 34,109.68 and 11,640.32 is: 17,471.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,726 : 34,109.68 = 11,640.32 : x
  2. Step 2: Convert to fraction form
    22,726/34,109.68 = 11,640.32/x
  3. Step 3: Cross multiply
    22,726x = 34,109.68 × 11,640.32
  4. Step 4: Simplify right side
    22,726x = 397,047,590.30
  5. Step 5: Solve for x
    x = 397,047,590.30/22,726
  6. Step 6: Final answer
    x = 17,471.07

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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.