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Finding the Fourth Proportional to 24,912, 37,367.40 and 6,192.08

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Solution

The fourth proportional to 24,912, 37,367.40 and 6,192.08 is: 9,287.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,912 : 37,367.40 = 6,192.08 : x
  2. Step 2: Convert to fraction form
    24,912/37,367.40 = 6,192.08/x
  3. Step 3: Cross multiply
    24,912x = 37,367.40 × 6,192.08
  4. Step 4: Simplify right side
    24,912x = 231,381,930.19
  5. Step 5: Solve for x
    x = 231,381,930.19/24,912
  6. Step 6: Final answer
    x = 9,287.97

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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.