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Finding the Fourth Proportional to 23,970.74, 35,956.04 and 6,440.54

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Solution

The fourth proportional to 23,970.74, 35,956.04 and 6,440.54 is: 9,660.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,970.74 : 35,956.04 = 6,440.54 : x
  2. Step 2: Convert to fraction form
    23,970.74/35,956.04 = 6,440.54/x
  3. Step 3: Cross multiply
    23,970.74x = 35,956.04 × 6,440.54
  4. Step 4: Simplify right side
    23,970.74x = 231,576,101.88
  5. Step 5: Solve for x
    x = 231,576,101.88/23,970.74
  6. Step 6: Final answer
    x = 9,660.78

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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.