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Finding the Fourth Proportional to 12,774.72, 19,137.97 and 6,538.68

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Solution

The fourth proportional to 12,774.72, 19,137.97 and 6,538.68 is: 9,795.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.72 : 19,137.97 = 6,538.68 : x
  2. Step 2: Convert to fraction form
    12,774.72/19,137.97 = 6,538.68/x
  3. Step 3: Cross multiply
    12,774.72x = 19,137.97 × 6,538.68
  4. Step 4: Simplify right side
    12,774.72x = 125,137,045.33
  5. Step 5: Solve for x
    x = 125,137,045.33/12,774.72
  6. Step 6: Final answer
    x = 9,795.68

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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.