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Finding the Fourth Proportional to 19,306.99, 28,963.79 and 8,213.77

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Solution

The fourth proportional to 19,306.99, 28,963.79 and 8,213.77 is: 12,322.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,306.99 : 28,963.79 = 8,213.77 : x
  2. Step 2: Convert to fraction form
    19,306.99/28,963.79 = 8,213.77/x
  3. Step 3: Cross multiply
    19,306.99x = 28,963.79 × 8,213.77
  4. Step 4: Simplify right side
    19,306.99x = 237,901,723.50
  5. Step 5: Solve for x
    x = 237,901,723.50/19,306.99
  6. Step 6: Final answer
    x = 12,322.05

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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.