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Finding the Fourth Proportional to 22,771.98, 34,159 and 6,975.86

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Solution

The fourth proportional to 22,771.98, 34,159 and 6,975.86 is: 10,464.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,771.98 : 34,159 = 6,975.86 : x
  2. Step 2: Convert to fraction form
    22,771.98/34,159 = 6,975.86/x
  3. Step 3: Cross multiply
    22,771.98x = 34,159 × 6,975.86
  4. Step 4: Simplify right side
    22,771.98x = 238,288,401.74
  5. Step 5: Solve for x
    x = 238,288,401.74/22,771.98
  6. Step 6: Final answer
    x = 10,464.11

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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.