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Finding the Fourth Proportional to 22,496.31, 33,745.39 and 7,715.39

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Solution

The fourth proportional to 22,496.31, 33,745.39 and 7,715.39 is: 11,573.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,496.31 : 33,745.39 = 7,715.39 : x
  2. Step 2: Convert to fraction form
    22,496.31/33,745.39 = 7,715.39/x
  3. Step 3: Cross multiply
    22,496.31x = 33,745.39 × 7,715.39
  4. Step 4: Simplify right side
    22,496.31x = 260,358,909.63
  5. Step 5: Solve for x
    x = 260,358,909.63/22,496.31
  6. Step 6: Final answer
    x = 11,573.41

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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.