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Finding the Fourth Proportional to 23,871.53, 35,807.34 and 8,289.20

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Solution

The fourth proportional to 23,871.53, 35,807.34 and 8,289.20 is: 12,433.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,871.53 : 35,807.34 = 8,289.20 : x
  2. Step 2: Convert to fraction form
    23,871.53/35,807.34 = 8,289.20/x
  3. Step 3: Cross multiply
    23,871.53x = 35,807.34 × 8,289.20
  4. Step 4: Simplify right side
    23,871.53x = 296,814,202.73
  5. Step 5: Solve for x
    x = 296,814,202.73/23,871.53
  6. Step 6: Final answer
    x = 12,433.82

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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.