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Finding the Fourth Proportional to 11,970.33, 17,953.33 and 4,181.37

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Solution

The fourth proportional to 11,970.33, 17,953.33 and 4,181.37 is: 6,271.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.33 : 17,953.33 = 4,181.37 : x
  2. Step 2: Convert to fraction form
    11,970.33/17,953.33 = 4,181.37/x
  3. Step 3: Cross multiply
    11,970.33x = 17,953.33 × 4,181.37
  4. Step 4: Simplify right side
    11,970.33x = 75,069,515.46
  5. Step 5: Solve for x
    x = 75,069,515.46/11,970.33
  6. Step 6: Final answer
    x = 6,271.30

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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.