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Finding the Fourth Proportional to 23,841.28, 35,760.64 and 7,424

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Solution

The fourth proportional to 23,841.28, 35,760.64 and 7,424 is: 11,135.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,841.28 : 35,760.64 = 7,424 : x
  2. Step 2: Convert to fraction form
    23,841.28/35,760.64 = 7,424/x
  3. Step 3: Cross multiply
    23,841.28x = 35,760.64 × 7,424
  4. Step 4: Simplify right side
    23,841.28x = 265,486,991.36
  5. Step 5: Solve for x
    x = 265,486,991.36/23,841.28
  6. Step 6: Final answer
    x = 11,135.60

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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.