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Finding the Fourth Proportional to 11,571.33, 17,314.35 and 8,184.12

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Solution

The fourth proportional to 11,571.33, 17,314.35 and 8,184.12 is: 12,246.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.33 : 17,314.35 = 8,184.12 : x
  2. Step 2: Convert to fraction form
    11,571.33/17,314.35 = 8,184.12/x
  3. Step 3: Cross multiply
    11,571.33x = 17,314.35 × 8,184.12
  4. Step 4: Simplify right side
    11,571.33x = 141,702,718.12
  5. Step 5: Solve for x
    x = 141,702,718.12/11,571.33
  6. Step 6: Final answer
    x = 12,246.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.