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Finding the Fourth Proportional to 12,202.02, 16,841.97 and 7,727.94

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Solution

The fourth proportional to 12,202.02, 16,841.97 and 7,727.94 is: 10,666.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.02 : 16,841.97 = 7,727.94 : x
  2. Step 2: Convert to fraction form
    12,202.02/16,841.97 = 7,727.94/x
  3. Step 3: Cross multiply
    12,202.02x = 16,841.97 × 7,727.94
  4. Step 4: Simplify right side
    12,202.02x = 130,153,733.64
  5. Step 5: Solve for x
    x = 130,153,733.64/12,202.02
  6. Step 6: Final answer
    x = 10,666.57

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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.