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Finding the Fourth Proportional to 12,019.36, 18,030 and 3,698.72

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Solution

The fourth proportional to 12,019.36, 18,030 and 3,698.72 is: 5,548.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,019.36 : 18,030 = 3,698.72 : x
  2. Step 2: Convert to fraction form
    12,019.36/18,030 = 3,698.72/x
  3. Step 3: Cross multiply
    12,019.36x = 18,030 × 3,698.72
  4. Step 4: Simplify right side
    12,019.36x = 66,687,921.60
  5. Step 5: Solve for x
    x = 66,687,921.60/12,019.36
  6. Step 6: Final answer
    x = 5,548.38

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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.