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Finding the Fourth Proportional to 22,356.09, 33,538.41 and 7,567.38

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Solution

The fourth proportional to 22,356.09, 33,538.41 and 7,567.38 is: 11,352.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,356.09 : 33,538.41 = 7,567.38 : x
  2. Step 2: Convert to fraction form
    22,356.09/33,538.41 = 7,567.38/x
  3. Step 3: Cross multiply
    22,356.09x = 33,538.41 × 7,567.38
  4. Step 4: Simplify right side
    22,356.09x = 253,797,893.07
  5. Step 5: Solve for x
    x = 253,797,893.07/22,356.09
  6. Step 6: Final answer
    x = 11,352.52

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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.