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Finding the Fourth Proportional to 16,146.36, 24,211.74 and 6,783.72

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Solution

The fourth proportional to 16,146.36, 24,211.74 and 6,783.72 is: 10,172.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,146.36 : 24,211.74 = 6,783.72 : x
  2. Step 2: Convert to fraction form
    16,146.36/24,211.74 = 6,783.72/x
  3. Step 3: Cross multiply
    16,146.36x = 24,211.74 × 6,783.72
  4. Step 4: Simplify right side
    16,146.36x = 164,245,664.87
  5. Step 5: Solve for x
    x = 164,245,664.87/16,146.36
  6. Step 6: Final answer
    x = 10,172.30

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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.