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Finding the Fourth Proportional to 22,365.11, 33,534.69 and 9,202.61

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Solution

The fourth proportional to 22,365.11, 33,534.69 and 9,202.61 is: 13,798.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,365.11 : 33,534.69 = 9,202.61 : x
  2. Step 2: Convert to fraction form
    22,365.11/33,534.69 = 9,202.61/x
  3. Step 3: Cross multiply
    22,365.11x = 33,534.69 × 9,202.61
  4. Step 4: Simplify right side
    22,365.11x = 308,606,673.54
  5. Step 5: Solve for x
    x = 308,606,673.54/22,365.11
  6. Step 6: Final answer
    x = 13,798.58

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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.