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Finding the Fourth Proportional to 13,727.60, 18,952.24 and 8,696.12

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Solution

The fourth proportional to 13,727.60, 18,952.24 and 8,696.12 is: 12,005.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,727.60 : 18,952.24 = 8,696.12 : x
  2. Step 2: Convert to fraction form
    13,727.60/18,952.24 = 8,696.12/x
  3. Step 3: Cross multiply
    13,727.60x = 18,952.24 × 8,696.12
  4. Step 4: Simplify right side
    13,727.60x = 164,810,953.31
  5. Step 5: Solve for x
    x = 164,810,953.31/13,727.60
  6. Step 6: Final answer
    x = 12,005.81

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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.