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Finding the Fourth Proportional to 22,919.46, 34,380.98 and 9,771.92

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Solution

The fourth proportional to 22,919.46, 34,380.98 and 9,771.92 is: 14,658.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,919.46 : 34,380.98 = 9,771.92 : x
  2. Step 2: Convert to fraction form
    22,919.46/34,380.98 = 9,771.92/x
  3. Step 3: Cross multiply
    22,919.46x = 34,380.98 × 9,771.92
  4. Step 4: Simplify right side
    22,919.46x = 335,968,186.08
  5. Step 5: Solve for x
    x = 335,968,186.08/22,919.46
  6. Step 6: Final answer
    x = 14,658.64

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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.