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Finding the Fourth Proportional to 12,145.50, 18,186.93 and 7,218.54

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Solution

The fourth proportional to 12,145.50, 18,186.93 and 7,218.54 is: 10,809.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,145.50 : 18,186.93 = 7,218.54 : x
  2. Step 2: Convert to fraction form
    12,145.50/18,186.93 = 7,218.54/x
  3. Step 3: Cross multiply
    12,145.50x = 18,186.93 × 7,218.54
  4. Step 4: Simplify right side
    12,145.50x = 131,283,081.68
  5. Step 5: Solve for x
    x = 131,283,081.68/12,145.50
  6. Step 6: Final answer
    x = 10,809.20

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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.