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Finding the Fourth Proportional to 20,565.24, 30,847.94 and 5,774.28

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Solution

The fourth proportional to 20,565.24, 30,847.94 and 5,774.28 is: 8,661.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565.24 : 30,847.94 = 5,774.28 : x
  2. Step 2: Convert to fraction form
    20,565.24/30,847.94 = 5,774.28/x
  3. Step 3: Cross multiply
    20,565.24x = 30,847.94 × 5,774.28
  4. Step 4: Simplify right side
    20,565.24x = 178,124,642.98
  5. Step 5: Solve for x
    x = 178,124,642.98/20,565.24
  6. Step 6: Final answer
    x = 8,661.44

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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.