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Finding the Fourth Proportional to 23,473.10, 35,205.97 and 7,678

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Solution

The fourth proportional to 23,473.10, 35,205.97 and 7,678 is: 11,515.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,473.10 : 35,205.97 = 7,678 : x
  2. Step 2: Convert to fraction form
    23,473.10/35,205.97 = 7,678/x
  3. Step 3: Cross multiply
    23,473.10x = 35,205.97 × 7,678
  4. Step 4: Simplify right side
    23,473.10x = 270,311,437.66
  5. Step 5: Solve for x
    x = 270,311,437.66/23,473.10
  6. Step 6: Final answer
    x = 11,515.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.