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Finding the Fourth Proportional to 23,141.92, 34,714.52 and 11,452

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Solution

The fourth proportional to 23,141.92, 34,714.52 and 11,452 is: 17,178.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,141.92 : 34,714.52 = 11,452 : x
  2. Step 2: Convert to fraction form
    23,141.92/34,714.52 = 11,452/x
  3. Step 3: Cross multiply
    23,141.92x = 34,714.52 × 11,452
  4. Step 4: Simplify right side
    23,141.92x = 397,550,683.04
  5. Step 5: Solve for x
    x = 397,550,683.04/23,141.92
  6. Step 6: Final answer
    x = 17,178.81

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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.