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Finding the Fourth Proportional to 23,872.26, 35,808.38 and 7,456.26

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Solution

The fourth proportional to 23,872.26, 35,808.38 and 7,456.26 is: 11,184.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,872.26 : 35,808.38 = 7,456.26 : x
  2. Step 2: Convert to fraction form
    23,872.26/35,808.38 = 7,456.26/x
  3. Step 3: Cross multiply
    23,872.26x = 35,808.38 × 7,456.26
  4. Step 4: Simplify right side
    23,872.26x = 266,996,591.46
  5. Step 5: Solve for x
    x = 266,996,591.46/23,872.26
  6. Step 6: Final answer
    x = 11,184.39

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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.