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Finding the Fourth Proportional to 12,997.80, 19,497.78 and 5,202.36

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Solution

The fourth proportional to 12,997.80, 19,497.78 and 5,202.36 is: 7,803.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,997.80 : 19,497.78 = 5,202.36 : x
  2. Step 2: Convert to fraction form
    12,997.80/19,497.78 = 5,202.36/x
  3. Step 3: Cross multiply
    12,997.80x = 19,497.78 × 5,202.36
  4. Step 4: Simplify right side
    12,997.80x = 101,434,470.76
  5. Step 5: Solve for x
    x = 101,434,470.76/12,997.80
  6. Step 6: Final answer
    x = 7,803.97

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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.