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Finding the Fourth Proportional to 12,230.46, 16,861.32 and 8,401.98

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Solution

The fourth proportional to 12,230.46, 16,861.32 and 8,401.98 is: 11,583.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,230.46 : 16,861.32 = 8,401.98 : x
  2. Step 2: Convert to fraction form
    12,230.46/16,861.32 = 8,401.98/x
  3. Step 3: Cross multiply
    12,230.46x = 16,861.32 × 8,401.98
  4. Step 4: Simplify right side
    12,230.46x = 141,668,473.41
  5. Step 5: Solve for x
    x = 141,668,473.41/12,230.46
  6. Step 6: Final answer
    x = 11,583.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.