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Finding the Fourth Proportional to 12,419.74, 17,136.32 and 8,394.06

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Solution

The fourth proportional to 12,419.74, 17,136.32 and 8,394.06 is: 11,581.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,419.74 : 17,136.32 = 8,394.06 : x
  2. Step 2: Convert to fraction form
    12,419.74/17,136.32 = 8,394.06/x
  3. Step 3: Cross multiply
    12,419.74x = 17,136.32 × 8,394.06
  4. Step 4: Simplify right side
    12,419.74x = 143,843,320.55
  5. Step 5: Solve for x
    x = 143,843,320.55/12,419.74
  6. Step 6: Final answer
    x = 11,581.83

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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.