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Finding the Fourth Proportional to 22,570.94, 33,861.87 and 6,775.94

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Solution

The fourth proportional to 22,570.94, 33,861.87 and 6,775.94 is: 10,165.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,570.94 : 33,861.87 = 6,775.94 : x
  2. Step 2: Convert to fraction form
    22,570.94/33,861.87 = 6,775.94/x
  3. Step 3: Cross multiply
    22,570.94x = 33,861.87 × 6,775.94
  4. Step 4: Simplify right side
    22,570.94x = 229,445,830.10
  5. Step 5: Solve for x
    x = 229,445,830.10/22,570.94
  6. Step 6: Final answer
    x = 10,165.54

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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.