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Finding the Fourth Proportional to 23,833.52, 35,750.56 and 8,247.50

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Solution

The fourth proportional to 23,833.52, 35,750.56 and 8,247.50 is: 12,371.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,833.52 : 35,750.56 = 8,247.50 : x
  2. Step 2: Convert to fraction form
    23,833.52/35,750.56 = 8,247.50/x
  3. Step 3: Cross multiply
    23,833.52x = 35,750.56 × 8,247.50
  4. Step 4: Simplify right side
    23,833.52x = 294,852,743.60
  5. Step 5: Solve for x
    x = 294,852,743.60/23,833.52
  6. Step 6: Final answer
    x = 12,371.35

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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.