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Finding the Fourth Proportional to 14,084.24, 19,431.24 and 8,494.16

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Solution

The fourth proportional to 14,084.24, 19,431.24 and 8,494.16 is: 11,718.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,084.24 : 19,431.24 = 8,494.16 : x
  2. Step 2: Convert to fraction form
    14,084.24/19,431.24 = 8,494.16/x
  3. Step 3: Cross multiply
    14,084.24x = 19,431.24 × 8,494.16
  4. Step 4: Simplify right side
    14,084.24x = 165,052,061.56
  5. Step 5: Solve for x
    x = 165,052,061.56/14,084.24
  6. Step 6: Final answer
    x = 11,718.92

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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.