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Finding the Fourth Proportional to 12,047.46, 18,071.04 and 3,282.36

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Solution

The fourth proportional to 12,047.46, 18,071.04 and 3,282.36 is: 4,923.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,047.46 : 18,071.04 = 3,282.36 : x
  2. Step 2: Convert to fraction form
    12,047.46/18,071.04 = 3,282.36/x
  3. Step 3: Cross multiply
    12,047.46x = 18,071.04 × 3,282.36
  4. Step 4: Simplify right side
    12,047.46x = 59,315,658.85
  5. Step 5: Solve for x
    x = 59,315,658.85/12,047.46
  6. Step 6: Final answer
    x = 4,923.50

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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.