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Finding the Fourth Proportional to 15,959.44, 23,940.79 and 6,107

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Solution

The fourth proportional to 15,959.44, 23,940.79 and 6,107 is: 9,161.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,959.44 : 23,940.79 = 6,107 : x
  2. Step 2: Convert to fraction form
    15,959.44/23,940.79 = 6,107/x
  3. Step 3: Cross multiply
    15,959.44x = 23,940.79 × 6,107
  4. Step 4: Simplify right side
    15,959.44x = 146,206,374.00
  5. Step 5: Solve for x
    x = 146,206,374.00/15,959.44
  6. Step 6: Final answer
    x = 9,161.12

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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.