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Finding the Fourth Proportional to 14,309.22, 21,468.48 and 6,914.52

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Solution

The fourth proportional to 14,309.22, 21,468.48 and 6,914.52 is: 10,374.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,309.22 : 21,468.48 = 6,914.52 : x
  2. Step 2: Convert to fraction form
    14,309.22/21,468.48 = 6,914.52/x
  3. Step 3: Cross multiply
    14,309.22x = 21,468.48 × 6,914.52
  4. Step 4: Simplify right side
    14,309.22x = 148,444,234.33
  5. Step 5: Solve for x
    x = 148,444,234.33/14,309.22
  6. Step 6: Final answer
    x = 10,374.03

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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.