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Finding the Fourth Proportional to 23,489.46, 35,239.14 and 8,698.50

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Solution

The fourth proportional to 23,489.46, 35,239.14 and 8,698.50 is: 13,049.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,489.46 : 35,239.14 = 8,698.50 : x
  2. Step 2: Convert to fraction form
    23,489.46/35,239.14 = 8,698.50/x
  3. Step 3: Cross multiply
    23,489.46x = 35,239.14 × 8,698.50
  4. Step 4: Simplify right side
    23,489.46x = 306,527,659.29
  5. Step 5: Solve for x
    x = 306,527,659.29/23,489.46
  6. Step 6: Final answer
    x = 13,049.58

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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.