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Finding the Fourth Proportional to 12,205.05, 16,844.57 and 6,899.87

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Solution

The fourth proportional to 12,205.05, 16,844.57 and 6,899.87 is: 9,522.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.05 : 16,844.57 = 6,899.87 : x
  2. Step 2: Convert to fraction form
    12,205.05/16,844.57 = 6,899.87/x
  3. Step 3: Cross multiply
    12,205.05x = 16,844.57 × 6,899.87
  4. Step 4: Simplify right side
    12,205.05x = 116,225,362.71
  5. Step 5: Solve for x
    x = 116,225,362.71/12,205.05
  6. Step 6: Final answer
    x = 9,522.72

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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.