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Finding the Fourth Proportional to 12,064.74, 16,643.70 and 8,033.60

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Solution

The fourth proportional to 12,064.74, 16,643.70 and 8,033.60 is: 11,082.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,064.74 : 16,643.70 = 8,033.60 : x
  2. Step 2: Convert to fraction form
    12,064.74/16,643.70 = 8,033.60/x
  3. Step 3: Cross multiply
    12,064.74x = 16,643.70 × 8,033.60
  4. Step 4: Simplify right side
    12,064.74x = 133,708,745.10
  5. Step 5: Solve for x
    x = 133,708,745.10/12,064.74
  6. Step 6: Final answer
    x = 11,082.60

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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.