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Finding the Fourth Proportional to 12,073.98, 18,099.72 and 4,683.24

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Solution

The fourth proportional to 12,073.98, 18,099.72 and 4,683.24 is: 7,020.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,073.98 : 18,099.72 = 4,683.24 : x
  2. Step 2: Convert to fraction form
    12,073.98/18,099.72 = 4,683.24/x
  3. Step 3: Cross multiply
    12,073.98x = 18,099.72 × 4,683.24
  4. Step 4: Simplify right side
    12,073.98x = 84,765,332.69
  5. Step 5: Solve for x
    x = 84,765,332.69/12,073.98
  6. Step 6: Final answer
    x = 7,020.50

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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.