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Finding the Fourth Proportional to 22,830.42, 34,245.63 and 6,189.78

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Solution

The fourth proportional to 22,830.42, 34,245.63 and 6,189.78 is: 9,284.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,830.42 : 34,245.63 = 6,189.78 : x
  2. Step 2: Convert to fraction form
    22,830.42/34,245.63 = 6,189.78/x
  3. Step 3: Cross multiply
    22,830.42x = 34,245.63 × 6,189.78
  4. Step 4: Simplify right side
    22,830.42x = 211,972,915.66
  5. Step 5: Solve for x
    x = 211,972,915.66/22,830.42
  6. Step 6: Final answer
    x = 9,284.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.