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Finding the Fourth Proportional to 12,008.12, 16,571.18 and 6,702.81

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Solution

The fourth proportional to 12,008.12, 16,571.18 and 6,702.81 is: 9,249.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,008.12 : 16,571.18 = 6,702.81 : x
  2. Step 2: Convert to fraction form
    12,008.12/16,571.18 = 6,702.81/x
  3. Step 3: Cross multiply
    12,008.12x = 16,571.18 × 6,702.81
  4. Step 4: Simplify right side
    12,008.12x = 111,073,437.50
  5. Step 5: Solve for x
    x = 111,073,437.50/12,008.12
  6. Step 6: Final answer
    x = 9,249.86

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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.