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Finding the Fourth Proportional to 17,840.50, 24,619.37 and 9,882.56

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Solution

The fourth proportional to 17,840.50, 24,619.37 and 9,882.56 is: 13,637.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,840.50 : 24,619.37 = 9,882.56 : x
  2. Step 2: Convert to fraction form
    17,840.50/24,619.37 = 9,882.56/x
  3. Step 3: Cross multiply
    17,840.50x = 24,619.37 × 9,882.56
  4. Step 4: Simplify right side
    17,840.50x = 243,302,413.32
  5. Step 5: Solve for x
    x = 243,302,413.32/17,840.50
  6. Step 6: Final answer
    x = 13,637.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.