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Finding the Fourth Proportional to 12,014.08, 16,578.72 and 6,709.24

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Solution

The fourth proportional to 12,014.08, 16,578.72 and 6,709.24 is: 9,258.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,014.08 : 16,578.72 = 6,709.24 : x
  2. Step 2: Convert to fraction form
    12,014.08/16,578.72 = 6,709.24/x
  3. Step 3: Cross multiply
    12,014.08x = 16,578.72 × 6,709.24
  4. Step 4: Simplify right side
    12,014.08x = 111,230,611.37
  5. Step 5: Solve for x
    x = 111,230,611.37/12,014.08
  6. Step 6: Final answer
    x = 9,258.35

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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.