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Finding the Fourth Proportional to 14,145.57, 19,522.43 and 8,096.36

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Solution

The fourth proportional to 14,145.57, 19,522.43 and 8,096.36 is: 11,173.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,145.57 : 19,522.43 = 8,096.36 : x
  2. Step 2: Convert to fraction form
    14,145.57/19,522.43 = 8,096.36/x
  3. Step 3: Cross multiply
    14,145.57x = 19,522.43 × 8,096.36
  4. Step 4: Simplify right side
    14,145.57x = 158,060,580.87
  5. Step 5: Solve for x
    x = 158,060,580.87/14,145.57
  6. Step 6: Final answer
    x = 11,173.86

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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.