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Finding the Fourth Proportional to 12,001.76, 16,561.32 and 6,696.80

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Solution

The fourth proportional to 12,001.76, 16,561.32 and 6,696.80 is: 9,240.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,001.76 : 16,561.32 = 6,696.80 : x
  2. Step 2: Convert to fraction form
    12,001.76/16,561.32 = 6,696.80/x
  3. Step 3: Cross multiply
    12,001.76x = 16,561.32 × 6,696.80
  4. Step 4: Simplify right side
    12,001.76x = 110,907,847.78
  5. Step 5: Solve for x
    x = 110,907,847.78/12,001.76
  6. Step 6: Final answer
    x = 9,240.97

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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.