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Finding the Fourth Proportional to 11,618.21, 17,422.95 and 4,220.84

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Solution

The fourth proportional to 11,618.21, 17,422.95 and 4,220.84 is: 6,329.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,618.21 : 17,422.95 = 4,220.84 : x
  2. Step 2: Convert to fraction form
    11,618.21/17,422.95 = 4,220.84/x
  3. Step 3: Cross multiply
    11,618.21x = 17,422.95 × 4,220.84
  4. Step 4: Simplify right side
    11,618.21x = 73,539,484.28
  5. Step 5: Solve for x
    x = 73,539,484.28/11,618.21
  6. Step 6: Final answer
    x = 6,329.67

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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.