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Finding the Fourth Proportional to 13,738.10, 18,959.84 and 8,634.45

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Solution

The fourth proportional to 13,738.10, 18,959.84 and 8,634.45 is: 11,916.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,738.10 : 18,959.84 = 8,634.45 : x
  2. Step 2: Convert to fraction form
    13,738.10/18,959.84 = 8,634.45/x
  3. Step 3: Cross multiply
    13,738.10x = 18,959.84 × 8,634.45
  4. Step 4: Simplify right side
    13,738.10x = 163,707,708.60
  5. Step 5: Solve for x
    x = 163,707,708.60/13,738.10
  6. Step 6: Final answer
    x = 11,916.33

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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.