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Finding the Fourth Proportional to 22,448.92, 33,683.10 and 12,048.52

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Solution

The fourth proportional to 22,448.92, 33,683.10 and 12,048.52 is: 18,078.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,448.92 : 33,683.10 = 12,048.52 : x
  2. Step 2: Convert to fraction form
    22,448.92/33,683.10 = 12,048.52/x
  3. Step 3: Cross multiply
    22,448.92x = 33,683.10 × 12,048.52
  4. Step 4: Simplify right side
    22,448.92x = 405,831,504.01
  5. Step 5: Solve for x
    x = 405,831,504.01/22,448.92
  6. Step 6: Final answer
    x = 18,078.00

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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.