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Finding the Fourth Proportional to 20,151.93, 30,233.34 and 7,005.03

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Solution

The fourth proportional to 20,151.93, 30,233.34 and 7,005.03 is: 10,509.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,151.93 : 30,233.34 = 7,005.03 : x
  2. Step 2: Convert to fraction form
    20,151.93/30,233.34 = 7,005.03/x
  3. Step 3: Cross multiply
    20,151.93x = 30,233.34 × 7,005.03
  4. Step 4: Simplify right side
    20,151.93x = 211,785,453.70
  5. Step 5: Solve for x
    x = 211,785,453.70/20,151.93
  6. Step 6: Final answer
    x = 10,509.44

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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.