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Finding the Fourth Proportional to 19,309.40, 28,964.10 and 8,216.45

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Solution

The fourth proportional to 19,309.40, 28,964.10 and 8,216.45 is: 12,324.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,309.40 : 28,964.10 = 8,216.45 : x
  2. Step 2: Convert to fraction form
    19,309.40/28,964.10 = 8,216.45/x
  3. Step 3: Cross multiply
    19,309.40x = 28,964.10 × 8,216.45
  4. Step 4: Simplify right side
    19,309.40x = 237,982,079.45
  5. Step 5: Solve for x
    x = 237,982,079.45/19,309.40
  6. Step 6: Final answer
    x = 12,324.68

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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.