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Finding the Fourth Proportional to 21,102.88, 31,665.12 and 8,632.12

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Solution

The fourth proportional to 21,102.88, 31,665.12 and 8,632.12 is: 12,952.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,102.88 : 31,665.12 = 8,632.12 : x
  2. Step 2: Convert to fraction form
    21,102.88/31,665.12 = 8,632.12/x
  3. Step 3: Cross multiply
    21,102.88x = 31,665.12 × 8,632.12
  4. Step 4: Simplify right side
    21,102.88x = 273,337,115.65
  5. Step 5: Solve for x
    x = 273,337,115.65/21,102.88
  6. Step 6: Final answer
    x = 12,952.60

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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.