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Finding the Fourth Proportional to 20,173.24, 30,259.86 and 6,133.24

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Solution

The fourth proportional to 20,173.24, 30,259.86 and 6,133.24 is: 9,199.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,173.24 : 30,259.86 = 6,133.24 : x
  2. Step 2: Convert to fraction form
    20,173.24/30,259.86 = 6,133.24/x
  3. Step 3: Cross multiply
    20,173.24x = 30,259.86 × 6,133.24
  4. Step 4: Simplify right side
    20,173.24x = 185,590,983.75
  5. Step 5: Solve for x
    x = 185,590,983.75/20,173.24
  6. Step 6: Final answer
    x = 9,199.86

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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.