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Finding the Fourth Proportional to 12,722.84, 19,078.68 and 5,221.25

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Solution

The fourth proportional to 12,722.84, 19,078.68 and 5,221.25 is: 7,829.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722.84 : 19,078.68 = 5,221.25 : x
  2. Step 2: Convert to fraction form
    12,722.84/19,078.68 = 5,221.25/x
  3. Step 3: Cross multiply
    12,722.84x = 19,078.68 × 5,221.25
  4. Step 4: Simplify right side
    12,722.84x = 99,614,462.56
  5. Step 5: Solve for x
    x = 99,614,462.56/12,722.84
  6. Step 6: Final answer
    x = 7,829.58

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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.