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Finding the Fourth Proportional to 13,898.38, 19,183.14 and 8,590

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Solution

The fourth proportional to 13,898.38, 19,183.14 and 8,590 is: 11,856.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,898.38 : 19,183.14 = 8,590 : x
  2. Step 2: Convert to fraction form
    13,898.38/19,183.14 = 8,590/x
  3. Step 3: Cross multiply
    13,898.38x = 19,183.14 × 8,590
  4. Step 4: Simplify right side
    13,898.38x = 164,783,172.60
  5. Step 5: Solve for x
    x = 164,783,172.60/13,898.38
  6. Step 6: Final answer
    x = 11,856.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.