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Finding the Fourth Proportional to 13,294.36, 18,346.62 and 8,191

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Solution

The fourth proportional to 13,294.36, 18,346.62 and 8,191 is: 11,303.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,294.36 : 18,346.62 = 8,191 : x
  2. Step 2: Convert to fraction form
    13,294.36/18,346.62 = 8,191/x
  3. Step 3: Cross multiply
    13,294.36x = 18,346.62 × 8,191
  4. Step 4: Simplify right side
    13,294.36x = 150,277,164.42
  5. Step 5: Solve for x
    x = 150,277,164.42/13,294.36
  6. Step 6: Final answer
    x = 11,303.83

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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.