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Finding the Fourth Proportional to 22,433.52, 33,653.93 and 6,847.50

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Solution

The fourth proportional to 22,433.52, 33,653.93 and 6,847.50 is: 10,272.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,433.52 : 33,653.93 = 6,847.50 : x
  2. Step 2: Convert to fraction form
    22,433.52/33,653.93 = 6,847.50/x
  3. Step 3: Cross multiply
    22,433.52x = 33,653.93 × 6,847.50
  4. Step 4: Simplify right side
    22,433.52x = 230,445,285.68
  5. Step 5: Solve for x
    x = 230,445,285.68/22,433.52
  6. Step 6: Final answer
    x = 10,272.36

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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.