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Finding the Fourth Proportional to 19,861.74, 29,789.37 and 6,007.50

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Solution

The fourth proportional to 19,861.74, 29,789.37 and 6,007.50 is: 9,010.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,861.74 : 29,789.37 = 6,007.50 : x
  2. Step 2: Convert to fraction form
    19,861.74/29,789.37 = 6,007.50/x
  3. Step 3: Cross multiply
    19,861.74x = 29,789.37 × 6,007.50
  4. Step 4: Simplify right side
    19,861.74x = 178,959,640.28
  5. Step 5: Solve for x
    x = 178,959,640.28/19,861.74
  6. Step 6: Final answer
    x = 9,010.27

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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.