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Finding the Fourth Proportional to 14,143.85, 19,522.02 and 8,174.66

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Solution

The fourth proportional to 14,143.85, 19,522.02 and 8,174.66 is: 11,283.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,143.85 : 19,522.02 = 8,174.66 : x
  2. Step 2: Convert to fraction form
    14,143.85/19,522.02 = 8,174.66/x
  3. Step 3: Cross multiply
    14,143.85x = 19,522.02 × 8,174.66
  4. Step 4: Simplify right side
    14,143.85x = 159,585,882.27
  5. Step 5: Solve for x
    x = 159,585,882.27/14,143.85
  6. Step 6: Final answer
    x = 11,283.06

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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.