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Finding the Fourth Proportional to 14,138.29, 19,510.68 and 8,169.94

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Solution

The fourth proportional to 14,138.29, 19,510.68 and 8,169.94 is: 11,274.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138.29 : 19,510.68 = 8,169.94 : x
  2. Step 2: Convert to fraction form
    14,138.29/19,510.68 = 8,169.94/x
  3. Step 3: Cross multiply
    14,138.29x = 19,510.68 × 8,169.94
  4. Step 4: Simplify right side
    14,138.29x = 159,401,084.96
  5. Step 5: Solve for x
    x = 159,401,084.96/14,138.29
  6. Step 6: Final answer
    x = 11,274.42

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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.