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Finding the Fourth Proportional to 22,861.69, 34,262.46 and 9,697.77

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Solution

The fourth proportional to 22,861.69, 34,262.46 and 9,697.77 is: 14,533.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,861.69 : 34,262.46 = 9,697.77 : x
  2. Step 2: Convert to fraction form
    22,861.69/34,262.46 = 9,697.77/x
  3. Step 3: Cross multiply
    22,861.69x = 34,262.46 × 9,697.77
  4. Step 4: Simplify right side
    22,861.69x = 332,269,456.71
  5. Step 5: Solve for x
    x = 332,269,456.71/22,861.69
  6. Step 6: Final answer
    x = 14,533.90

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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.