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Finding the Fourth Proportional to 20,423.88, 30,620.22 and 9,322.86

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Solution

The fourth proportional to 20,423.88, 30,620.22 and 9,322.86 is: 13,977.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,423.88 : 30,620.22 = 9,322.86 : x
  2. Step 2: Convert to fraction form
    20,423.88/30,620.22 = 9,322.86/x
  3. Step 3: Cross multiply
    20,423.88x = 30,620.22 × 9,322.86
  4. Step 4: Simplify right side
    20,423.88x = 285,468,024.23
  5. Step 5: Solve for x
    x = 285,468,024.23/20,423.88
  6. Step 6: Final answer
    x = 13,977.17

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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.