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Finding the Fourth Proportional to 13,647.14, 18,833.01 and 7,678.81

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Solution

The fourth proportional to 13,647.14, 18,833.01 and 7,678.81 is: 10,596.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.14 : 18,833.01 = 7,678.81 : x
  2. Step 2: Convert to fraction form
    13,647.14/18,833.01 = 7,678.81/x
  3. Step 3: Cross multiply
    13,647.14x = 18,833.01 × 7,678.81
  4. Step 4: Simplify right side
    13,647.14x = 144,615,067.12
  5. Step 5: Solve for x
    x = 144,615,067.12/13,647.14
  6. Step 6: Final answer
    x = 10,596.73

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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.