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Finding the Fourth Proportional to 22,314.72, 33,436.50 and 11,784.36

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Solution

The fourth proportional to 22,314.72, 33,436.50 and 11,784.36 is: 17,657.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,314.72 : 33,436.50 = 11,784.36 : x
  2. Step 2: Convert to fraction form
    22,314.72/33,436.50 = 11,784.36/x
  3. Step 3: Cross multiply
    22,314.72x = 33,436.50 × 11,784.36
  4. Step 4: Simplify right side
    22,314.72x = 394,027,753.14
  5. Step 5: Solve for x
    x = 394,027,753.14/22,314.72
  6. Step 6: Final answer
    x = 17,657.75

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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.