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Finding the Fourth Proportional to 13,740.86, 18,955.41 and 8,696.58

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Solution

The fourth proportional to 13,740.86, 18,955.41 and 8,696.58 is: 11,996.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,740.86 : 18,955.41 = 8,696.58 : x
  2. Step 2: Convert to fraction form
    13,740.86/18,955.41 = 8,696.58/x
  3. Step 3: Cross multiply
    13,740.86x = 18,955.41 × 8,696.58
  4. Step 4: Simplify right side
    13,740.86x = 164,847,239.50
  5. Step 5: Solve for x
    x = 164,847,239.50/13,740.86
  6. Step 6: Final answer
    x = 11,996.86

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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.