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Finding the Fourth Proportional to 21,578.86, 32,318.11 and 20,830.52

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Solution

The fourth proportional to 21,578.86, 32,318.11 and 20,830.52 is: 31,197.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,578.86 : 32,318.11 = 20,830.52 : x
  2. Step 2: Convert to fraction form
    21,578.86/32,318.11 = 20,830.52/x
  3. Step 3: Cross multiply
    21,578.86x = 32,318.11 × 20,830.52
  4. Step 4: Simplify right side
    21,578.86x = 673,203,020.35
  5. Step 5: Solve for x
    x = 673,203,020.35/21,578.86
  6. Step 6: Final answer
    x = 31,197.35

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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.