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Finding the Fourth Proportional to 20,511.94, 30,780.87 and 11,763.94

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Solution

The fourth proportional to 20,511.94, 30,780.87 and 11,763.94 is: 17,653.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,511.94 : 30,780.87 = 11,763.94 : x
  2. Step 2: Convert to fraction form
    20,511.94/30,780.87 = 11,763.94/x
  3. Step 3: Cross multiply
    20,511.94x = 30,780.87 × 11,763.94
  4. Step 4: Simplify right side
    20,511.94x = 362,104,307.83
  5. Step 5: Solve for x
    x = 362,104,307.83/20,511.94
  6. Step 6: Final answer
    x = 17,653.34

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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.