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Finding the Fourth Proportional to 17,882.64, 26,823.50 and 8,529.27

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Solution

The fourth proportional to 17,882.64, 26,823.50 and 8,529.27 is: 12,793.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,882.64 : 26,823.50 = 8,529.27 : x
  2. Step 2: Convert to fraction form
    17,882.64/26,823.50 = 8,529.27/x
  3. Step 3: Cross multiply
    17,882.64x = 26,823.50 × 8,529.27
  4. Step 4: Simplify right side
    17,882.64x = 228,784,831.20
  5. Step 5: Solve for x
    x = 228,784,831.20/17,882.64
  6. Step 6: Final answer
    x = 12,793.68

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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.