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Finding the Fourth Proportional to 13,767.13, 18,998.72 and 8,465.41

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Solution

The fourth proportional to 13,767.13, 18,998.72 and 8,465.41 is: 11,682.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,767.13 : 18,998.72 = 8,465.41 : x
  2. Step 2: Convert to fraction form
    13,767.13/18,998.72 = 8,465.41/x
  3. Step 3: Cross multiply
    13,767.13x = 18,998.72 × 8,465.41
  4. Step 4: Simplify right side
    13,767.13x = 160,831,954.28
  5. Step 5: Solve for x
    x = 160,831,954.28/13,767.13
  6. Step 6: Final answer
    x = 11,682.32

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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.