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Finding the Fourth Proportional to 12,034.26, 16,600.61 and 6,997.93

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Solution

The fourth proportional to 12,034.26, 16,600.61 and 6,997.93 is: 9,653.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,034.26 : 16,600.61 = 6,997.93 : x
  2. Step 2: Convert to fraction form
    12,034.26/16,600.61 = 6,997.93/x
  3. Step 3: Cross multiply
    12,034.26x = 16,600.61 × 6,997.93
  4. Step 4: Simplify right side
    12,034.26x = 116,169,906.74
  5. Step 5: Solve for x
    x = 116,169,906.74/12,034.26
  6. Step 6: Final answer
    x = 9,653.27

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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.