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Finding the Fourth Proportional to 20,488.95, 30,740.81 and 8,017.92

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Solution

The fourth proportional to 20,488.95, 30,740.81 and 8,017.92 is: 12,029.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,488.95 : 30,740.81 = 8,017.92 : x
  2. Step 2: Convert to fraction form
    20,488.95/30,740.81 = 8,017.92/x
  3. Step 3: Cross multiply
    20,488.95x = 30,740.81 × 8,017.92
  4. Step 4: Simplify right side
    20,488.95x = 246,477,315.23
  5. Step 5: Solve for x
    x = 246,477,315.23/20,488.95
  6. Step 6: Final answer
    x = 12,029.77

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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.