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Finding the Fourth Proportional to 14,230.56, 19,638.56 and 7,942.88

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Solution

The fourth proportional to 14,230.56, 19,638.56 and 7,942.88 is: 10,961.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,230.56 : 19,638.56 = 7,942.88 : x
  2. Step 2: Convert to fraction form
    14,230.56/19,638.56 = 7,942.88/x
  3. Step 3: Cross multiply
    14,230.56x = 19,638.56 × 7,942.88
  4. Step 4: Simplify right side
    14,230.56x = 155,986,725.45
  5. Step 5: Solve for x
    x = 155,986,725.45/14,230.56
  6. Step 6: Final answer
    x = 10,961.39

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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.