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Finding the Fourth Proportional to 22,687.80, 34,033.31 and 6,047.74

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Solution

The fourth proportional to 22,687.80, 34,033.31 and 6,047.74 is: 9,072.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,687.80 : 34,033.31 = 6,047.74 : x
  2. Step 2: Convert to fraction form
    22,687.80/34,033.31 = 6,047.74/x
  3. Step 3: Cross multiply
    22,687.80x = 34,033.31 × 6,047.74
  4. Step 4: Simplify right side
    22,687.80x = 205,824,610.22
  5. Step 5: Solve for x
    x = 205,824,610.22/22,687.80
  6. Step 6: Final answer
    x = 9,072.04

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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.