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Finding the Fourth Proportional to 19,306.49, 28,963.04 and 8,213.27

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Solution

The fourth proportional to 19,306.49, 28,963.04 and 8,213.27 is: 12,321.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,306.49 : 28,963.04 = 8,213.27 : x
  2. Step 2: Convert to fraction form
    19,306.49/28,963.04 = 8,213.27/x
  3. Step 3: Cross multiply
    19,306.49x = 28,963.04 × 8,213.27
  4. Step 4: Simplify right side
    19,306.49x = 237,881,081.66
  5. Step 5: Solve for x
    x = 237,881,081.66/19,306.49
  6. Step 6: Final answer
    x = 12,321.30

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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.