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Finding the Fourth Proportional to 23,782, 35,673 and 9,931

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Solution

The fourth proportional to 23,782, 35,673 and 9,931 is: 14,896.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,782 : 35,673 = 9,931 : x
  2. Step 2: Convert to fraction form
    23,782/35,673 = 9,931/x
  3. Step 3: Cross multiply
    23,782x = 35,673 × 9,931
  4. Step 4: Simplify right side
    23,782x = 354,268,563
  5. Step 5: Solve for x
    x = 354,268,563/23,782
  6. Step 6: Final answer
    x = 14,896.50

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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.