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Finding the Fourth Proportional to 19,985.24, 29,991.22 and 8,298.44

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Solution

The fourth proportional to 19,985.24, 29,991.22 and 8,298.44 is: 12,453.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,985.24 : 29,991.22 = 8,298.44 : x
  2. Step 2: Convert to fraction form
    19,985.24/29,991.22 = 8,298.44/x
  3. Step 3: Cross multiply
    19,985.24x = 29,991.22 × 8,298.44
  4. Step 4: Simplify right side
    19,985.24x = 248,880,339.70
  5. Step 5: Solve for x
    x = 248,880,339.70/19,985.24
  6. Step 6: Final answer
    x = 12,453.21

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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.