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Finding the Fourth Proportional to 12,771.37, 19,139.52 and 6,518.21

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Solution

The fourth proportional to 12,771.37, 19,139.52 and 6,518.21 is: 9,768.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.37 : 19,139.52 = 6,518.21 : x
  2. Step 2: Convert to fraction form
    12,771.37/19,139.52 = 6,518.21/x
  3. Step 3: Cross multiply
    12,771.37x = 19,139.52 × 6,518.21
  4. Step 4: Simplify right side
    12,771.37x = 124,755,339.40
  5. Step 5: Solve for x
    x = 124,755,339.40/12,771.37
  6. Step 6: Final answer
    x = 9,768.36

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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.