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Finding the Fourth Proportional to 23,898.92, 35,852.90 and 7,889.36

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Solution

The fourth proportional to 23,898.92, 35,852.90 and 7,889.36 is: 11,835.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,898.92 : 35,852.90 = 7,889.36 : x
  2. Step 2: Convert to fraction form
    23,898.92/35,852.90 = 7,889.36/x
  3. Step 3: Cross multiply
    23,898.92x = 35,852.90 × 7,889.36
  4. Step 4: Simplify right side
    23,898.92x = 282,856,216.43
  5. Step 5: Solve for x
    x = 282,856,216.43/23,898.92
  6. Step 6: Final answer
    x = 11,835.53

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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.