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Finding the Fourth Proportional to 14,093.98, 19,449.93 and 7,720.48

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Solution

The fourth proportional to 14,093.98, 19,449.93 and 7,720.48 is: 10,654.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,093.98 : 19,449.93 = 7,720.48 : x
  2. Step 2: Convert to fraction form
    14,093.98/19,449.93 = 7,720.48/x
  3. Step 3: Cross multiply
    14,093.98x = 19,449.93 × 7,720.48
  4. Step 4: Simplify right side
    14,093.98x = 150,162,659.71
  5. Step 5: Solve for x
    x = 150,162,659.71/14,093.98
  6. Step 6: Final answer
    x = 10,654.39

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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.