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Finding the Fourth Proportional to 19,235.75, 28,858.74 and 8,142.91

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Solution

The fourth proportional to 19,235.75, 28,858.74 and 8,142.91 is: 12,216.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,235.75 : 28,858.74 = 8,142.91 : x
  2. Step 2: Convert to fraction form
    19,235.75/28,858.74 = 8,142.91/x
  3. Step 3: Cross multiply
    19,235.75x = 28,858.74 × 8,142.91
  4. Step 4: Simplify right side
    19,235.75x = 234,993,978.24
  5. Step 5: Solve for x
    x = 234,993,978.24/19,235.75
  6. Step 6: Final answer
    x = 12,216.52

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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.