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Finding the Fourth Proportional to 23,898.47, 35,847.75 and 9,866.48

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Solution

The fourth proportional to 23,898.47, 35,847.75 and 9,866.48 is: 14,799.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,898.47 : 35,847.75 = 9,866.48 : x
  2. Step 2: Convert to fraction form
    23,898.47/35,847.75 = 9,866.48/x
  3. Step 3: Cross multiply
    23,898.47x = 35,847.75 × 9,866.48
  4. Step 4: Simplify right side
    23,898.47x = 353,691,108.42
  5. Step 5: Solve for x
    x = 353,691,108.42/23,898.47
  6. Step 6: Final answer
    x = 14,799.74

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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.