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Finding the Fourth Proportional to 23,871.54, 35,807.28 and 8,289.30

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Solution

The fourth proportional to 23,871.54, 35,807.28 and 8,289.30 is: 12,433.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,871.54 : 35,807.28 = 8,289.30 : x
  2. Step 2: Convert to fraction form
    23,871.54/35,807.28 = 8,289.30/x
  3. Step 3: Cross multiply
    23,871.54x = 35,807.28 × 8,289.30
  4. Step 4: Simplify right side
    23,871.54x = 296,817,286.10
  5. Step 5: Solve for x
    x = 296,817,286.10/23,871.54
  6. Step 6: Final answer
    x = 12,433.94

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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.