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Finding the Fourth Proportional to 22,504.17, 33,735.39 and 7,709.58

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Solution

The fourth proportional to 22,504.17, 33,735.39 and 7,709.58 is: 11,557.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,504.17 : 33,735.39 = 7,709.58 : x
  2. Step 2: Convert to fraction form
    22,504.17/33,735.39 = 7,709.58/x
  3. Step 3: Cross multiply
    22,504.17x = 33,735.39 × 7,709.58
  4. Step 4: Simplify right side
    22,504.17x = 260,085,538.63
  5. Step 5: Solve for x
    x = 260,085,538.63/22,504.17
  6. Step 6: Final answer
    x = 11,557.21

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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.