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Finding the Fourth Proportional to 20,188.98, 30,285.01 and 6,150.20

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Solution

The fourth proportional to 20,188.98, 30,285.01 and 6,150.20 is: 9,225.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,188.98 : 30,285.01 = 6,150.20 : x
  2. Step 2: Convert to fraction form
    20,188.98/30,285.01 = 6,150.20/x
  3. Step 3: Cross multiply
    20,188.98x = 30,285.01 × 6,150.20
  4. Step 4: Simplify right side
    20,188.98x = 186,258,868.50
  5. Step 5: Solve for x
    x = 186,258,868.50/20,188.98
  6. Step 6: Final answer
    x = 9,225.77

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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.