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Finding the Fourth Proportional to 12,997.68, 19,492.26 and 4,230.48

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Solution

The fourth proportional to 12,997.68, 19,492.26 and 4,230.48 is: 6,344.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,997.68 : 19,492.26 = 4,230.48 : x
  2. Step 2: Convert to fraction form
    12,997.68/19,492.26 = 4,230.48/x
  3. Step 3: Cross multiply
    12,997.68x = 19,492.26 × 4,230.48
  4. Step 4: Simplify right side
    12,997.68x = 82,461,616.08
  5. Step 5: Solve for x
    x = 82,461,616.08/12,997.68
  6. Step 6: Final answer
    x = 6,344.33

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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.