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Finding the Fourth Proportional to 13,784.33, 19,022.51 and 8,194.25

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Solution

The fourth proportional to 13,784.33, 19,022.51 and 8,194.25 is: 11,308.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784.33 : 19,022.51 = 8,194.25 : x
  2. Step 2: Convert to fraction form
    13,784.33/19,022.51 = 8,194.25/x
  3. Step 3: Cross multiply
    13,784.33x = 19,022.51 × 8,194.25
  4. Step 4: Simplify right side
    13,784.33x = 155,875,161.60
  5. Step 5: Solve for x
    x = 155,875,161.60/13,784.33
  6. Step 6: Final answer
    x = 11,308.14

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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.