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Finding the Fourth Proportional to 23,295, 34,961.94 and 10,983

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Solution

The fourth proportional to 23,295, 34,961.94 and 10,983 is: 16,483.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,295 : 34,961.94 = 10,983 : x
  2. Step 2: Convert to fraction form
    23,295/34,961.94 = 10,983/x
  3. Step 3: Cross multiply
    23,295x = 34,961.94 × 10,983
  4. Step 4: Simplify right side
    23,295x = 383,986,987.02
  5. Step 5: Solve for x
    x = 383,986,987.02/23,295
  6. Step 6: Final answer
    x = 16,483.67

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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.