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Finding the Fourth Proportional to 13,191.04, 18,194.88 and 8,214.40

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Solution

The fourth proportional to 13,191.04, 18,194.88 and 8,214.40 is: 11,330.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,191.04 : 18,194.88 = 8,214.40 : x
  2. Step 2: Convert to fraction form
    13,191.04/18,194.88 = 8,214.40/x
  3. Step 3: Cross multiply
    13,191.04x = 18,194.88 × 8,214.40
  4. Step 4: Simplify right side
    13,191.04x = 149,460,022.27
  5. Step 5: Solve for x
    x = 149,460,022.27/13,191.04
  6. Step 6: Final answer
    x = 11,330.42

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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.