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Finding the Fourth Proportional to 16,122, 24,192.72 and 6,888

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Solution

The fourth proportional to 16,122, 24,192.72 and 6,888 is: 10,336.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,122 : 24,192.72 = 6,888 : x
  2. Step 2: Convert to fraction form
    16,122/24,192.72 = 6,888/x
  3. Step 3: Cross multiply
    16,122x = 24,192.72 × 6,888
  4. Step 4: Simplify right side
    16,122x = 166,639,455.36
  5. Step 5: Solve for x
    x = 166,639,455.36/16,122
  6. Step 6: Final answer
    x = 10,336.15

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Why These Related Problems?

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