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Finding the Fourth Proportional to 13,722.60, 18,930.22 and 8,678.33

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Solution

The fourth proportional to 13,722.60, 18,930.22 and 8,678.33 is: 11,971.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.60 : 18,930.22 = 8,678.33 : x
  2. Step 2: Convert to fraction form
    13,722.60/18,930.22 = 8,678.33/x
  3. Step 3: Cross multiply
    13,722.60x = 18,930.22 × 8,678.33
  4. Step 4: Simplify right side
    13,722.60x = 164,282,696.13
  5. Step 5: Solve for x
    x = 164,282,696.13/13,722.60
  6. Step 6: Final answer
    x = 11,971.69

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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.