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Finding the Fourth Proportional to 12,774.35, 19,137.41 and 6,538.31

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Solution

The fourth proportional to 12,774.35, 19,137.41 and 6,538.31 is: 9,795.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.35 : 19,137.41 = 6,538.31 : x
  2. Step 2: Convert to fraction form
    12,774.35/19,137.41 = 6,538.31/x
  3. Step 3: Cross multiply
    12,774.35x = 19,137.41 × 6,538.31
  4. Step 4: Simplify right side
    12,774.35x = 125,126,262.56
  5. Step 5: Solve for x
    x = 125,126,262.56/12,774.35
  6. Step 6: Final answer
    x = 9,795.12

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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.