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Finding the Fourth Proportional to 12,830.26, 19,245.51 and 4,064.50

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Solution

The fourth proportional to 12,830.26, 19,245.51 and 4,064.50 is: 6,096.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.26 : 19,245.51 = 4,064.50 : x
  2. Step 2: Convert to fraction form
    12,830.26/19,245.51 = 4,064.50/x
  3. Step 3: Cross multiply
    12,830.26x = 19,245.51 × 4,064.50
  4. Step 4: Simplify right side
    12,830.26x = 78,223,375.40
  5. Step 5: Solve for x
    x = 78,223,375.40/12,830.26
  6. Step 6: Final answer
    x = 6,096.79

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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.