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Finding the Fourth Proportional to 13,685.36, 18,885.93 and 8,023.46

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Solution

The fourth proportional to 13,685.36, 18,885.93 and 8,023.46 is: 11,072.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.36 : 18,885.93 = 8,023.46 : x
  2. Step 2: Convert to fraction form
    13,685.36/18,885.93 = 8,023.46/x
  3. Step 3: Cross multiply
    13,685.36x = 18,885.93 × 8,023.46
  4. Step 4: Simplify right side
    13,685.36x = 151,530,480.31
  5. Step 5: Solve for x
    x = 151,530,480.31/13,685.36
  6. Step 6: Final answer
    x = 11,072.45

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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.