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Finding the Fourth Proportional to 14,255.12, 19,672.24 and 7,967.60

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Solution

The fourth proportional to 14,255.12, 19,672.24 and 7,967.60 is: 10,995.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,255.12 : 19,672.24 = 7,967.60 : x
  2. Step 2: Convert to fraction form
    14,255.12/19,672.24 = 7,967.60/x
  3. Step 3: Cross multiply
    14,255.12x = 19,672.24 × 7,967.60
  4. Step 4: Simplify right side
    14,255.12x = 156,740,539.42
  5. Step 5: Solve for x
    x = 156,740,539.42/14,255.12
  6. Step 6: Final answer
    x = 10,995.39

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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.