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Finding the Fourth Proportional to 15,936.06, 23,906.94 and 6,570.88

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Solution

The fourth proportional to 15,936.06, 23,906.94 and 6,570.88 is: 9,857.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,936.06 : 23,906.94 = 6,570.88 : x
  2. Step 2: Convert to fraction form
    15,936.06/23,906.94 = 6,570.88/x
  3. Step 3: Cross multiply
    15,936.06x = 23,906.94 × 6,570.88
  4. Step 4: Simplify right side
    15,936.06x = 157,089,633.91
  5. Step 5: Solve for x
    x = 157,089,633.91/15,936.06
  6. Step 6: Final answer
    x = 9,857.50

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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.