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Finding the Fourth Proportional to 13,291.75, 18,342.62 and 8,323.75

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Solution

The fourth proportional to 13,291.75, 18,342.62 and 8,323.75 is: 11,486.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,291.75 : 18,342.62 = 8,323.75 : x
  2. Step 2: Convert to fraction form
    13,291.75/18,342.62 = 8,323.75/x
  3. Step 3: Cross multiply
    13,291.75x = 18,342.62 × 8,323.75
  4. Step 4: Simplify right side
    13,291.75x = 152,679,383.23
  5. Step 5: Solve for x
    x = 152,679,383.23/13,291.75
  6. Step 6: Final answer
    x = 11,486.78

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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.