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Finding the Fourth Proportional to 22,549.98, 33,833.61 and 8,509.02

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Solution

The fourth proportional to 22,549.98, 33,833.61 and 8,509.02 is: 12,766.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,549.98 : 33,833.61 = 8,509.02 : x
  2. Step 2: Convert to fraction form
    22,549.98/33,833.61 = 8,509.02/x
  3. Step 3: Cross multiply
    22,549.98x = 33,833.61 × 8,509.02
  4. Step 4: Simplify right side
    22,549.98x = 287,890,864.16
  5. Step 5: Solve for x
    x = 287,890,864.16/22,549.98
  6. Step 6: Final answer
    x = 12,766.79

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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.