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Finding the Fourth Proportional to 20,173.86, 30,243.78 and 9,637.92

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Solution

The fourth proportional to 20,173.86, 30,243.78 and 9,637.92 is: 14,448.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,173.86 : 30,243.78 = 9,637.92 : x
  2. Step 2: Convert to fraction form
    20,173.86/30,243.78 = 9,637.92/x
  3. Step 3: Cross multiply
    20,173.86x = 30,243.78 × 9,637.92
  4. Step 4: Simplify right side
    20,173.86x = 291,487,132.14
  5. Step 5: Solve for x
    x = 291,487,132.14/20,173.86
  6. Step 6: Final answer
    x = 14,448.75

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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.