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Finding the Fourth Proportional to 27,138.96, 40,708.53 and 9,609.30

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Solution

The fourth proportional to 27,138.96, 40,708.53 and 9,609.30 is: 14,413.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,138.96 : 40,708.53 = 9,609.30 : x
  2. Step 2: Convert to fraction form
    27,138.96/40,708.53 = 9,609.30/x
  3. Step 3: Cross multiply
    27,138.96x = 40,708.53 × 9,609.30
  4. Step 4: Simplify right side
    27,138.96x = 391,180,477.33
  5. Step 5: Solve for x
    x = 391,180,477.33/27,138.96
  6. Step 6: Final answer
    x = 14,413.98

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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.