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Finding the Fourth Proportional to 12,244.36, 16,894.27 and 7,766.48

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Solution

The fourth proportional to 12,244.36, 16,894.27 and 7,766.48 is: 10,715.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,244.36 : 16,894.27 = 7,766.48 : x
  2. Step 2: Convert to fraction form
    12,244.36/16,894.27 = 7,766.48/x
  3. Step 3: Cross multiply
    12,244.36x = 16,894.27 × 7,766.48
  4. Step 4: Simplify right side
    12,244.36x = 131,209,010.07
  5. Step 5: Solve for x
    x = 131,209,010.07/12,244.36
  6. Step 6: Final answer
    x = 10,715.87

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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.