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Finding the Fourth Proportional to 13,682.25, 18,881.51 and 7,394.63

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Solution

The fourth proportional to 13,682.25, 18,881.51 and 7,394.63 is: 10,204.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.25 : 18,881.51 = 7,394.63 : x
  2. Step 2: Convert to fraction form
    13,682.25/18,881.51 = 7,394.63/x
  3. Step 3: Cross multiply
    13,682.25x = 18,881.51 × 7,394.63
  4. Step 4: Simplify right side
    13,682.25x = 139,621,648.91
  5. Step 5: Solve for x
    x = 139,621,648.91/13,682.25
  6. Step 6: Final answer
    x = 10,204.58

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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.