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Finding the Fourth Proportional to 12,997.63, 19,488.25 and 5,497.30

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Solution

The fourth proportional to 12,997.63, 19,488.25 and 5,497.30 is: 8,242.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,997.63 : 19,488.25 = 5,497.30 : x
  2. Step 2: Convert to fraction form
    12,997.63/19,488.25 = 5,497.30/x
  3. Step 3: Cross multiply
    12,997.63x = 19,488.25 × 5,497.30
  4. Step 4: Simplify right side
    12,997.63x = 107,132,756.73
  5. Step 5: Solve for x
    x = 107,132,756.73/12,997.63
  6. Step 6: Final answer
    x = 8,242.48

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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.