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Finding the Fourth Proportional to 12,564.75, 18,833.99 and 4,241.91

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Solution

The fourth proportional to 12,564.75, 18,833.99 and 4,241.91 is: 6,358.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.75 : 18,833.99 = 4,241.91 : x
  2. Step 2: Convert to fraction form
    12,564.75/18,833.99 = 4,241.91/x
  3. Step 3: Cross multiply
    12,564.75x = 18,833.99 × 4,241.91
  4. Step 4: Simplify right side
    12,564.75x = 79,892,069.31
  5. Step 5: Solve for x
    x = 79,892,069.31/12,564.75
  6. Step 6: Final answer
    x = 6,358.43

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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.