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Finding the Fourth Proportional to 14,035, 19,367.38 and 7,747.32

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Solution

The fourth proportional to 14,035, 19,367.38 and 7,747.32 is: 10,690.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,035 : 19,367.38 = 7,747.32 : x
  2. Step 2: Convert to fraction form
    14,035/19,367.38 = 7,747.32/x
  3. Step 3: Cross multiply
    14,035x = 19,367.38 × 7,747.32
  4. Step 4: Simplify right side
    14,035x = 150,045,290.42
  5. Step 5: Solve for x
    x = 150,045,290.42/14,035
  6. Step 6: Final answer
    x = 10,690.79

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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.