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Finding the Fourth Proportional to 12,063.69, 18,094.95 and 4,166.19

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Solution

The fourth proportional to 12,063.69, 18,094.95 and 4,166.19 is: 6,249.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,063.69 : 18,094.95 = 4,166.19 : x
  2. Step 2: Convert to fraction form
    12,063.69/18,094.95 = 4,166.19/x
  3. Step 3: Cross multiply
    12,063.69x = 18,094.95 × 4,166.19
  4. Step 4: Simplify right side
    12,063.69x = 75,386,999.74
  5. Step 5: Solve for x
    x = 75,386,999.74/12,063.69
  6. Step 6: Final answer
    x = 6,249.08

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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.