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Finding the Fourth Proportional to 12,200.76, 16,837.18 and 6,895.64

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Solution

The fourth proportional to 12,200.76, 16,837.18 and 6,895.64 is: 9,516.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.76 : 16,837.18 = 6,895.64 : x
  2. Step 2: Convert to fraction form
    12,200.76/16,837.18 = 6,895.64/x
  3. Step 3: Cross multiply
    12,200.76x = 16,837.18 × 6,895.64
  4. Step 4: Simplify right side
    12,200.76x = 116,103,131.90
  5. Step 5: Solve for x
    x = 116,103,131.90/12,200.76
  6. Step 6: Final answer
    x = 9,516.06

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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.