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Finding the Fourth Proportional to 23,876.14, 35,817.92 and 7,232.21

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Solution

The fourth proportional to 23,876.14, 35,817.92 and 7,232.21 is: 10,849.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,876.14 : 35,817.92 = 7,232.21 : x
  2. Step 2: Convert to fraction form
    23,876.14/35,817.92 = 7,232.21/x
  3. Step 3: Cross multiply
    23,876.14x = 35,817.92 × 7,232.21
  4. Step 4: Simplify right side
    23,876.14x = 259,042,719.20
  5. Step 5: Solve for x
    x = 259,042,719.20/23,876.14
  6. Step 6: Final answer
    x = 10,849.44

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1.5x scale

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.