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Finding the Fourth Proportional to 15,788.26, 23,665.92 and 6,424.53

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Solution

The fourth proportional to 15,788.26, 23,665.92 and 6,424.53 is: 9,630.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,788.26 : 23,665.92 = 6,424.53 : x
  2. Step 2: Convert to fraction form
    15,788.26/23,665.92 = 6,424.53/x
  3. Step 3: Cross multiply
    15,788.26x = 23,665.92 × 6,424.53
  4. Step 4: Simplify right side
    15,788.26x = 152,042,413.02
  5. Step 5: Solve for x
    x = 152,042,413.02/15,788.26
  6. Step 6: Final answer
    x = 9,630.09

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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.