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Finding the Fourth Proportional to 14,978.26, 22,467.39 and 5,117.62

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Solution

The fourth proportional to 14,978.26, 22,467.39 and 5,117.62 is: 7,676.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.26 : 22,467.39 = 5,117.62 : x
  2. Step 2: Convert to fraction form
    14,978.26/22,467.39 = 5,117.62/x
  3. Step 3: Cross multiply
    14,978.26x = 22,467.39 × 5,117.62
  4. Step 4: Simplify right side
    14,978.26x = 114,979,564.41
  5. Step 5: Solve for x
    x = 114,979,564.41/14,978.26
  6. Step 6: Final answer
    x = 7,676.43

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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.