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Finding the Fourth Proportional to 22,456.96, 33,670.38 and 10,763.80

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Solution

The fourth proportional to 22,456.96, 33,670.38 and 10,763.80 is: 16,138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,456.96 : 33,670.38 = 10,763.80 : x
  2. Step 2: Convert to fraction form
    22,456.96/33,670.38 = 10,763.80/x
  3. Step 3: Cross multiply
    22,456.96x = 33,670.38 × 10,763.80
  4. Step 4: Simplify right side
    22,456.96x = 362,421,236.24
  5. Step 5: Solve for x
    x = 362,421,236.24/22,456.96
  6. Step 6: Final answer
    x = 16,138.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.