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Finding the Fourth Proportional to 12,564.41, 18,833.40 and 4,241.54

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Solution

The fourth proportional to 12,564.41, 18,833.40 and 4,241.54 is: 6,357.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.41 : 18,833.40 = 4,241.54 : x
  2. Step 2: Convert to fraction form
    12,564.41/18,833.40 = 4,241.54/x
  3. Step 3: Cross multiply
    12,564.41x = 18,833.40 × 4,241.54
  4. Step 4: Simplify right side
    12,564.41x = 79,882,525.27
  5. Step 5: Solve for x
    x = 79,882,525.27/12,564.41
  6. Step 6: Final answer
    x = 6,357.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.