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Finding the Fourth Proportional to 22,639.62, 33,959.85 and 7,849.02

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Solution

The fourth proportional to 22,639.62, 33,959.85 and 7,849.02 is: 11,773.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,639.62 : 33,959.85 = 7,849.02 : x
  2. Step 2: Convert to fraction form
    22,639.62/33,959.85 = 7,849.02/x
  3. Step 3: Cross multiply
    22,639.62x = 33,959.85 × 7,849.02
  4. Step 4: Simplify right side
    22,639.62x = 266,551,541.85
  5. Step 5: Solve for x
    x = 266,551,541.85/22,639.62
  6. Step 6: Final answer
    x = 11,773.68

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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.