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Finding the Fourth Proportional to 13,682.23, 18,881.49 and 7,394.60

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Solution

The fourth proportional to 13,682.23, 18,881.49 and 7,394.60 is: 10,204.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.23 : 18,881.49 = 7,394.60 : x
  2. Step 2: Convert to fraction form
    13,682.23/18,881.49 = 7,394.60/x
  3. Step 3: Cross multiply
    13,682.23x = 18,881.49 × 7,394.60
  4. Step 4: Simplify right side
    13,682.23x = 139,621,065.95
  5. Step 5: Solve for x
    x = 139,621,065.95/13,682.23
  6. Step 6: Final answer
    x = 10,204.55

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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.