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Finding the Fourth Proportional to 15,959.50, 23,940.83 and 6,107.06

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Solution

The fourth proportional to 15,959.50, 23,940.83 and 6,107.06 is: 9,161.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,959.50 : 23,940.83 = 6,107.06 : x
  2. Step 2: Convert to fraction form
    15,959.50/23,940.83 = 6,107.06/x
  3. Step 3: Cross multiply
    15,959.50x = 23,940.83 × 6,107.06
  4. Step 4: Simplify right side
    15,959.50x = 146,208,160.38
  5. Step 5: Solve for x
    x = 146,208,160.38/15,959.50
  6. Step 6: Final answer
    x = 9,161.20

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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.