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Finding the Fourth Proportional to 23,835.52, 35,753.24 and 7,419.52

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Solution

The fourth proportional to 23,835.52, 35,753.24 and 7,419.52 is: 11,129.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,835.52 : 35,753.24 = 7,419.52 : x
  2. Step 2: Convert to fraction form
    23,835.52/35,753.24 = 7,419.52/x
  3. Step 3: Cross multiply
    23,835.52x = 35,753.24 × 7,419.52
  4. Step 4: Simplify right side
    23,835.52x = 265,271,879.24
  5. Step 5: Solve for x
    x = 265,271,879.24/23,835.52
  6. Step 6: Final answer
    x = 11,129.27

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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.