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Finding the Fourth Proportional to 23,230.28, 34,844.01 and 8,238.14

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Solution

The fourth proportional to 23,230.28, 34,844.01 and 8,238.14 is: 12,356.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,230.28 : 34,844.01 = 8,238.14 : x
  2. Step 2: Convert to fraction form
    23,230.28/34,844.01 = 8,238.14/x
  3. Step 3: Cross multiply
    23,230.28x = 34,844.01 × 8,238.14
  4. Step 4: Simplify right side
    23,230.28x = 287,050,015.88
  5. Step 5: Solve for x
    x = 287,050,015.88/23,230.28
  6. Step 6: Final answer
    x = 12,356.72

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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.