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Finding the Fourth Proportional to 12,980.72, 19,468.92 and 5,187.44

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Solution

The fourth proportional to 12,980.72, 19,468.92 and 5,187.44 is: 7,780.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980.72 : 19,468.92 = 5,187.44 : x
  2. Step 2: Convert to fraction form
    12,980.72/19,468.92 = 5,187.44/x
  3. Step 3: Cross multiply
    12,980.72x = 19,468.92 × 5,187.44
  4. Step 4: Simplify right side
    12,980.72x = 100,993,854.36
  5. Step 5: Solve for x
    x = 100,993,854.36/12,980.72
  6. Step 6: Final answer
    x = 7,780.30

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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.