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Finding the Fourth Proportional to 22,755.72, 34,133.58 and 8,895

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Solution

The fourth proportional to 22,755.72, 34,133.58 and 8,895 is: 13,342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,755.72 : 34,133.58 = 8,895 : x
  2. Step 2: Convert to fraction form
    22,755.72/34,133.58 = 8,895/x
  3. Step 3: Cross multiply
    22,755.72x = 34,133.58 × 8,895
  4. Step 4: Simplify right side
    22,755.72x = 303,618,194.10
  5. Step 5: Solve for x
    x = 303,618,194.10/22,755.72
  6. Step 6: Final answer
    x = 13,342.50

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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.