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Finding the Fourth Proportional to 22,583.36, 33,906.08 and 11,497.50

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Solution

The fourth proportional to 22,583.36, 33,906.08 and 11,497.50 is: 17,262.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,583.36 : 33,906.08 = 11,497.50 : x
  2. Step 2: Convert to fraction form
    22,583.36/33,906.08 = 11,497.50/x
  3. Step 3: Cross multiply
    22,583.36x = 33,906.08 × 11,497.50
  4. Step 4: Simplify right side
    22,583.36x = 389,835,097.31
  5. Step 5: Solve for x
    x = 389,835,097.31/22,583.36
  6. Step 6: Final answer
    x = 17,262.05

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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.