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Finding the Fourth Proportional to 12,997.30, 19,462.74 and 7,147.48

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Solution

The fourth proportional to 12,997.30, 19,462.74 and 7,147.48 is: 10,702.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,997.30 : 19,462.74 = 7,147.48 : x
  2. Step 2: Convert to fraction form
    12,997.30/19,462.74 = 7,147.48/x
  3. Step 3: Cross multiply
    12,997.30x = 19,462.74 × 7,147.48
  4. Step 4: Simplify right side
    12,997.30x = 139,109,544.90
  5. Step 5: Solve for x
    x = 139,109,544.90/12,997.30
  6. Step 6: Final answer
    x = 10,702.96

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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.