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Finding the Fourth Proportional to 20,140.19, 30,220.51 and 9,044.60

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Solution

The fourth proportional to 20,140.19, 30,220.51 and 9,044.60 is: 13,571.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,140.19 : 30,220.51 = 9,044.60 : x
  2. Step 2: Convert to fraction form
    20,140.19/30,220.51 = 9,044.60/x
  3. Step 3: Cross multiply
    20,140.19x = 30,220.51 × 9,044.60
  4. Step 4: Simplify right side
    20,140.19x = 273,332,477.69
  5. Step 5: Solve for x
    x = 273,332,477.69/20,140.19
  6. Step 6: Final answer
    x = 13,571.50

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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.