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Finding the Fourth Proportional to 23,006, 31,735.32 and 15,046.40

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Solution

The fourth proportional to 23,006, 31,735.32 and 15,046.40 is: 20,755.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,006 : 31,735.32 = 15,046.40 : x
  2. Step 2: Convert to fraction form
    23,006/31,735.32 = 15,046.40/x
  3. Step 3: Cross multiply
    23,006x = 31,735.32 × 15,046.40
  4. Step 4: Simplify right side
    23,006x = 477,502,318.85
  5. Step 5: Solve for x
    x = 477,502,318.85/23,006
  6. Step 6: Final answer
    x = 20,755.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.