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Finding the Fourth Proportional to 16,071.14, 24,102.06 and 6,208.18

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Solution

The fourth proportional to 16,071.14, 24,102.06 and 6,208.18 is: 9,310.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,071.14 : 24,102.06 = 6,208.18 : x
  2. Step 2: Convert to fraction form
    16,071.14/24,102.06 = 6,208.18/x
  3. Step 3: Cross multiply
    16,071.14x = 24,102.06 × 6,208.18
  4. Step 4: Simplify right side
    16,071.14x = 149,629,843.31
  5. Step 5: Solve for x
    x = 149,629,843.31/16,071.14
  6. Step 6: Final answer
    x = 9,310.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.