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Finding the Fourth Proportional to 15,677.73, 23,522.72 and 6,906.47

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Solution

The fourth proportional to 15,677.73, 23,522.72 and 6,906.47 is: 10,362.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,677.73 : 23,522.72 = 6,906.47 : x
  2. Step 2: Convert to fraction form
    15,677.73/23,522.72 = 6,906.47/x
  3. Step 3: Cross multiply
    15,677.73x = 23,522.72 × 6,906.47
  4. Step 4: Simplify right side
    15,677.73x = 162,458,807.85
  5. Step 5: Solve for x
    x = 162,458,807.85/15,677.73
  6. Step 6: Final answer
    x = 10,362.39

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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.