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Finding the Fourth Proportional to 22,187.54, 33,268.80 and 9,024.50

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Solution

The fourth proportional to 22,187.54, 33,268.80 and 9,024.50 is: 13,531.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,187.54 : 33,268.80 = 9,024.50 : x
  2. Step 2: Convert to fraction form
    22,187.54/33,268.80 = 9,024.50/x
  3. Step 3: Cross multiply
    22,187.54x = 33,268.80 × 9,024.50
  4. Step 4: Simplify right side
    22,187.54x = 300,234,285.60
  5. Step 5: Solve for x
    x = 300,234,285.60/22,187.54
  6. Step 6: Final answer
    x = 13,531.66

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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.