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Finding the Fourth Proportional to 22,541.83, 33,815.00 and 7,748.80

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Solution

The fourth proportional to 22,541.83, 33,815.00 and 7,748.80 is: 11,623.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,541.83 : 33,815.00 = 7,748.80 : x
  2. Step 2: Convert to fraction form
    22,541.83/33,815.00 = 7,748.80/x
  3. Step 3: Cross multiply
    22,541.83x = 33,815.00 × 7,748.80
  4. Step 4: Simplify right side
    22,541.83x = 262,025,606.83
  5. Step 5: Solve for x
    x = 262,025,606.83/22,541.83
  6. Step 6: Final answer
    x = 11,623.97

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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.