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Finding the Fourth Proportional to 15,698.41, 23,561.28 and 8,308.17

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Solution

The fourth proportional to 15,698.41, 23,561.28 and 8,308.17 is: 12,469.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,698.41 : 23,561.28 = 8,308.17 : x
  2. Step 2: Convert to fraction form
    15,698.41/23,561.28 = 8,308.17/x
  3. Step 3: Cross multiply
    15,698.41x = 23,561.28 × 8,308.17
  4. Step 4: Simplify right side
    15,698.41x = 195,751,119.66
  5. Step 5: Solve for x
    x = 195,751,119.66/15,698.41
  6. Step 6: Final answer
    x = 12,469.49

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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.