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Finding the Fourth Proportional to 12,863.34, 17,751.24 and 7,274.34

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Solution

The fourth proportional to 12,863.34, 17,751.24 and 7,274.34 is: 10,038.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,863.34 : 17,751.24 = 7,274.34 : x
  2. Step 2: Convert to fraction form
    12,863.34/17,751.24 = 7,274.34/x
  3. Step 3: Cross multiply
    12,863.34x = 17,751.24 × 7,274.34
  4. Step 4: Simplify right side
    12,863.34x = 129,128,555.18
  5. Step 5: Solve for x
    x = 129,128,555.18/12,863.34
  6. Step 6: Final answer
    x = 10,038.49

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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.