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Finding the Fourth Proportional to 15,208.83, 20,987.98 and 8,494.57

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Solution

The fourth proportional to 15,208.83, 20,987.98 and 8,494.57 is: 11,722.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,208.83 : 20,987.98 = 8,494.57 : x
  2. Step 2: Convert to fraction form
    15,208.83/20,987.98 = 8,494.57/x
  3. Step 3: Cross multiply
    15,208.83x = 20,987.98 × 8,494.57
  4. Step 4: Simplify right side
    15,208.83x = 178,283,865.27
  5. Step 5: Solve for x
    x = 178,283,865.27/15,208.83
  6. Step 6: Final answer
    x = 11,722.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.