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Finding the Fourth Proportional to 14,195.50, 21,306.38 and 7,180.48

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Solution

The fourth proportional to 14,195.50, 21,306.38 and 7,180.48 is: 10,777.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,195.50 : 21,306.38 = 7,180.48 : x
  2. Step 2: Convert to fraction form
    14,195.50/21,306.38 = 7,180.48/x
  3. Step 3: Cross multiply
    14,195.50x = 21,306.38 × 7,180.48
  4. Step 4: Simplify right side
    14,195.50x = 152,990,035.46
  5. Step 5: Solve for x
    x = 152,990,035.46/14,195.50
  6. Step 6: Final answer
    x = 10,777.36

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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.