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Finding the Fourth Proportional to 22,589.31, 33,888.50 and 7,798.80

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Solution

The fourth proportional to 22,589.31, 33,888.50 and 7,798.80 is: 11,699.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,589.31 : 33,888.50 = 7,798.80 : x
  2. Step 2: Convert to fraction form
    22,589.31/33,888.50 = 7,798.80/x
  3. Step 3: Cross multiply
    22,589.31x = 33,888.50 × 7,798.80
  4. Step 4: Simplify right side
    22,589.31x = 264,289,633.80
  5. Step 5: Solve for x
    x = 264,289,633.80/22,589.31
  6. Step 6: Final answer
    x = 11,699.77

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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.