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Finding the Fourth Proportional to 13,898.25, 19,183.19 and 8,312.49

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Solution

The fourth proportional to 13,898.25, 19,183.19 and 8,312.49 is: 11,473.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,898.25 : 19,183.19 = 8,312.49 : x
  2. Step 2: Convert to fraction form
    13,898.25/19,183.19 = 8,312.49/x
  3. Step 3: Cross multiply
    13,898.25x = 19,183.19 × 8,312.49
  4. Step 4: Simplify right side
    13,898.25x = 159,460,033.48
  5. Step 5: Solve for x
    x = 159,460,033.48/13,898.25
  6. Step 6: Final answer
    x = 11,473.39

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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.