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Finding the Fourth Proportional to 22,523.77, 33,774.17 and 7,525.48

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Solution

The fourth proportional to 22,523.77, 33,774.17 and 7,525.48 is: 11,284.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523.77 : 33,774.17 = 7,525.48 : x
  2. Step 2: Convert to fraction form
    22,523.77/33,774.17 = 7,525.48/x
  3. Step 3: Cross multiply
    22,523.77x = 33,774.17 × 7,525.48
  4. Step 4: Simplify right side
    22,523.77x = 254,166,877.11
  5. Step 5: Solve for x
    x = 254,166,877.11/22,523.77
  6. Step 6: Final answer
    x = 11,284.38

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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.