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Finding the Fourth Proportional to 23,665.50, 35,498.52 and 6,134.27

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Solution

The fourth proportional to 23,665.50, 35,498.52 and 6,134.27 is: 9,201.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,665.50 : 35,498.52 = 6,134.27 : x
  2. Step 2: Convert to fraction form
    23,665.50/35,498.52 = 6,134.27/x
  3. Step 3: Cross multiply
    23,665.50x = 35,498.52 × 6,134.27
  4. Step 4: Simplify right side
    23,665.50x = 217,757,328.79
  5. Step 5: Solve for x
    x = 217,757,328.79/23,665.50
  6. Step 6: Final answer
    x = 9,201.47

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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.