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Finding the Fourth Proportional to 23,865.52, 35,784.56 and 9,835.24

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Solution

The fourth proportional to 23,865.52, 35,784.56 and 9,835.24 is: 14,747.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,865.52 : 35,784.56 = 9,835.24 : x
  2. Step 2: Convert to fraction form
    23,865.52/35,784.56 = 9,835.24/x
  3. Step 3: Cross multiply
    23,865.52x = 35,784.56 × 9,835.24
  4. Step 4: Simplify right side
    23,865.52x = 351,949,556.97
  5. Step 5: Solve for x
    x = 351,949,556.97/23,865.52
  6. Step 6: Final answer
    x = 14,747.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.