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Finding the Fourth Proportional to 12,997.80, 19,463.49 and 7,147.98

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Solution

The fourth proportional to 12,997.80, 19,463.49 and 7,147.98 is: 10,703.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,997.80 : 19,463.49 = 7,147.98 : x
  2. Step 2: Convert to fraction form
    12,997.80/19,463.49 = 7,147.98/x
  3. Step 3: Cross multiply
    12,997.80x = 19,463.49 × 7,147.98
  4. Step 4: Simplify right side
    12,997.80x = 139,124,637.25
  5. Step 5: Solve for x
    x = 139,124,637.25/12,997.80
  6. Step 6: Final answer
    x = 10,703.71

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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.