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Finding the Fourth Proportional to 13,221.95, 18,241.26 and 8,442.07

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Solution

The fourth proportional to 13,221.95, 18,241.26 and 8,442.07 is: 11,646.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,221.95 : 18,241.26 = 8,442.07 : x
  2. Step 2: Convert to fraction form
    13,221.95/18,241.26 = 8,442.07/x
  3. Step 3: Cross multiply
    13,221.95x = 18,241.26 × 8,442.07
  4. Step 4: Simplify right side
    13,221.95x = 153,993,993.81
  5. Step 5: Solve for x
    x = 153,993,993.81/13,221.95
  6. Step 6: Final answer
    x = 11,646.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.