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Finding the Fourth Proportional to 12,071.93, 18,101.97 and 5,049.84

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Solution

The fourth proportional to 12,071.93, 18,101.97 and 5,049.84 is: 7,572.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.93 : 18,101.97 = 5,049.84 : x
  2. Step 2: Convert to fraction form
    12,071.93/18,101.97 = 5,049.84/x
  3. Step 3: Cross multiply
    12,071.93x = 18,101.97 × 5,049.84
  4. Step 4: Simplify right side
    12,071.93x = 91,412,052.18
  5. Step 5: Solve for x
    x = 91,412,052.18/12,071.93
  6. Step 6: Final answer
    x = 7,572.28

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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.