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Finding the Fourth Proportional to 22,861.34, 34,301.83 and 12,319.09

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Solution

The fourth proportional to 22,861.34, 34,301.83 and 12,319.09 is: 18,483.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,861.34 : 34,301.83 = 12,319.09 : x
  2. Step 2: Convert to fraction form
    22,861.34/34,301.83 = 12,319.09/x
  3. Step 3: Cross multiply
    22,861.34x = 34,301.83 × 12,319.09
  4. Step 4: Simplify right side
    22,861.34x = 422,567,237.48
  5. Step 5: Solve for x
    x = 422,567,237.48/22,861.34
  6. Step 6: Final answer
    x = 18,483.92

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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.