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Finding the Fourth Proportional to 15,906.92, 23,868.30 and 7,145

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Solution

The fourth proportional to 15,906.92, 23,868.30 and 7,145 is: 10,721.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,906.92 : 23,868.30 = 7,145 : x
  2. Step 2: Convert to fraction form
    15,906.92/23,868.30 = 7,145/x
  3. Step 3: Cross multiply
    15,906.92x = 23,868.30 × 7,145
  4. Step 4: Simplify right side
    15,906.92x = 170,539,003.50
  5. Step 5: Solve for x
    x = 170,539,003.50/15,906.92
  6. Step 6: Final answer
    x = 10,721.06

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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.