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Finding the Fourth Proportional to 17,371.50, 23,971.86 and 9,816.90

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Solution

The fourth proportional to 17,371.50, 23,971.86 and 9,816.90 is: 13,546.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,371.50 : 23,971.86 = 9,816.90 : x
  2. Step 2: Convert to fraction form
    17,371.50/23,971.86 = 9,816.90/x
  3. Step 3: Cross multiply
    17,371.50x = 23,971.86 × 9,816.90
  4. Step 4: Simplify right side
    17,371.50x = 235,329,352.43
  5. Step 5: Solve for x
    x = 235,329,352.43/17,371.50
  6. Step 6: Final answer
    x = 13,546.86

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1.5x scale

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.