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Finding the Fourth Proportional to 13,918.26, 19,206.36 and 8,253.54

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Solution

The fourth proportional to 13,918.26, 19,206.36 and 8,253.54 is: 11,389.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,918.26 : 19,206.36 = 8,253.54 : x
  2. Step 2: Convert to fraction form
    13,918.26/19,206.36 = 8,253.54/x
  3. Step 3: Cross multiply
    13,918.26x = 19,206.36 × 8,253.54
  4. Step 4: Simplify right side
    13,918.26x = 158,520,460.51
  5. Step 5: Solve for x
    x = 158,520,460.51/13,918.26
  6. Step 6: Final answer
    x = 11,389.39

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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.