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Finding the Fourth Proportional to 20,497.94, 30,726.38 and 8,000.78

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Solution

The fourth proportional to 20,497.94, 30,726.38 and 8,000.78 is: 11,993.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,497.94 : 30,726.38 = 8,000.78 : x
  2. Step 2: Convert to fraction form
    20,497.94/30,726.38 = 8,000.78/x
  3. Step 3: Cross multiply
    20,497.94x = 30,726.38 × 8,000.78
  4. Step 4: Simplify right side
    20,497.94x = 245,835,006.58
  5. Step 5: Solve for x
    x = 245,835,006.58/20,497.94
  6. Step 6: Final answer
    x = 11,993.16

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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.