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Finding the Fourth Proportional to 20,571.80, 30,832.88 and 9,463.25

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Solution

The fourth proportional to 20,571.80, 30,832.88 and 9,463.25 is: 14,183.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,571.80 : 30,832.88 = 9,463.25 : x
  2. Step 2: Convert to fraction form
    20,571.80/30,832.88 = 9,463.25/x
  3. Step 3: Cross multiply
    20,571.80x = 30,832.88 × 9,463.25
  4. Step 4: Simplify right side
    20,571.80x = 291,779,050.18
  5. Step 5: Solve for x
    x = 291,779,050.18/20,571.80
  6. Step 6: Final answer
    x = 14,183.45

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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.