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Finding the Fourth Proportional to 22,262.88, 33,394.48 and 9,116.60

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Solution

The fourth proportional to 22,262.88, 33,394.48 and 9,116.60 is: 13,674.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,262.88 : 33,394.48 = 9,116.60 : x
  2. Step 2: Convert to fraction form
    22,262.88/33,394.48 = 9,116.60/x
  3. Step 3: Cross multiply
    22,262.88x = 33,394.48 × 9,116.60
  4. Step 4: Simplify right side
    22,262.88x = 304,444,116.37
  5. Step 5: Solve for x
    x = 304,444,116.37/22,262.88
  6. Step 6: Final answer
    x = 13,674.97

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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.