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Finding the Fourth Proportional to 12,466.58, 18,696.20 and 10,269.86

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Solution

The fourth proportional to 12,466.58, 18,696.20 and 10,269.86 is: 15,401.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,466.58 : 18,696.20 = 10,269.86 : x
  2. Step 2: Convert to fraction form
    12,466.58/18,696.20 = 10,269.86/x
  3. Step 3: Cross multiply
    12,466.58x = 18,696.20 × 10,269.86
  4. Step 4: Simplify right side
    12,466.58x = 192,007,356.53
  5. Step 5: Solve for x
    x = 192,007,356.53/12,466.58
  6. Step 6: Final answer
    x = 15,401.77

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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.