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Finding the Fourth Proportional to 13,235.32, 19,836.78 and 6,211

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Solution

The fourth proportional to 13,235.32, 19,836.78 and 6,211 is: 9,308.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,235.32 : 19,836.78 = 6,211 : x
  2. Step 2: Convert to fraction form
    13,235.32/19,836.78 = 6,211/x
  3. Step 3: Cross multiply
    13,235.32x = 19,836.78 × 6,211
  4. Step 4: Simplify right side
    13,235.32x = 123,206,240.58
  5. Step 5: Solve for x
    x = 123,206,240.58/13,235.32
  6. Step 6: Final answer
    x = 9,308.90

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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.