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Finding the Fourth Proportional to 13,197.93, 18,208.12 and 8,160.54

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Solution

The fourth proportional to 13,197.93, 18,208.12 and 8,160.54 is: 11,258.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.93 : 18,208.12 = 8,160.54 : x
  2. Step 2: Convert to fraction form
    13,197.93/18,208.12 = 8,160.54/x
  3. Step 3: Cross multiply
    13,197.93x = 18,208.12 × 8,160.54
  4. Step 4: Simplify right side
    13,197.93x = 148,588,091.58
  5. Step 5: Solve for x
    x = 148,588,091.58/13,197.93
  6. Step 6: Final answer
    x = 11,258.44

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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.