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Finding the Fourth Proportional to 19,297.31, 28,950.41 and 8,204.36

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Solution

The fourth proportional to 19,297.31, 28,950.41 and 8,204.36 is: 12,308.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,297.31 : 28,950.41 = 8,204.36 : x
  2. Step 2: Convert to fraction form
    19,297.31/28,950.41 = 8,204.36/x
  3. Step 3: Cross multiply
    19,297.31x = 28,950.41 × 8,204.36
  4. Step 4: Simplify right side
    19,297.31x = 237,519,461.55
  5. Step 5: Solve for x
    x = 237,519,461.55/19,297.31
  6. Step 6: Final answer
    x = 12,308.43

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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.