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Finding the Fourth Proportional to 23,189.54, 34,802.76 and 8,402.68

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Solution

The fourth proportional to 23,189.54, 34,802.76 and 8,402.68 is: 12,610.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,189.54 : 34,802.76 = 8,402.68 : x
  2. Step 2: Convert to fraction form
    23,189.54/34,802.76 = 8,402.68/x
  3. Step 3: Cross multiply
    23,189.54x = 34,802.76 × 8,402.68
  4. Step 4: Simplify right side
    23,189.54x = 292,436,413.38
  5. Step 5: Solve for x
    x = 292,436,413.38/23,189.54
  6. Step 6: Final answer
    x = 12,610.71

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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.