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Finding the Fourth Proportional to 12,887.86, 19,334.22 and 4,120.42

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Solution

The fourth proportional to 12,887.86, 19,334.22 and 4,120.42 is: 6,181.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,887.86 : 19,334.22 = 4,120.42 : x
  2. Step 2: Convert to fraction form
    12,887.86/19,334.22 = 4,120.42/x
  3. Step 3: Cross multiply
    12,887.86x = 19,334.22 × 4,120.42
  4. Step 4: Simplify right side
    12,887.86x = 79,665,106.77
  5. Step 5: Solve for x
    x = 79,665,106.77/12,887.86
  6. Step 6: Final answer
    x = 6,181.41

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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.