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Finding the Fourth Proportional to 14,978.26, 22,468.38 and 6,213.88

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Solution

The fourth proportional to 14,978.26, 22,468.38 and 6,213.88 is: 9,321.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.26 : 22,468.38 = 6,213.88 : x
  2. Step 2: Convert to fraction form
    14,978.26/22,468.38 = 6,213.88/x
  3. Step 3: Cross multiply
    14,978.26x = 22,468.38 × 6,213.88
  4. Step 4: Simplify right side
    14,978.26x = 139,615,817.11
  5. Step 5: Solve for x
    x = 139,615,817.11/14,978.26
  6. Step 6: Final answer
    x = 9,321.23

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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.