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Finding the Fourth Proportional to 13,867, 19,136.60 and 7,579.40

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Solution

The fourth proportional to 13,867, 19,136.60 and 7,579.40 is: 10,459.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,867 : 19,136.60 = 7,579.40 : x
  2. Step 2: Convert to fraction form
    13,867/19,136.60 = 7,579.40/x
  3. Step 3: Cross multiply
    13,867x = 19,136.60 × 7,579.40
  4. Step 4: Simplify right side
    13,867x = 145,043,946.04
  5. Step 5: Solve for x
    x = 145,043,946.04/13,867
  6. Step 6: Final answer
    x = 10,459.65

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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.