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Finding the Fourth Proportional to 16,971.40, 25,443.86 and 8,082.14

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Solution

The fourth proportional to 16,971.40, 25,443.86 and 8,082.14 is: 12,116.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,971.40 : 25,443.86 = 8,082.14 : x
  2. Step 2: Convert to fraction form
    16,971.40/25,443.86 = 8,082.14/x
  3. Step 3: Cross multiply
    16,971.40x = 25,443.86 × 8,082.14
  4. Step 4: Simplify right side
    16,971.40x = 205,640,838.66
  5. Step 5: Solve for x
    x = 205,640,838.66/16,971.40
  6. Step 6: Final answer
    x = 12,116.90

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1.5x scale

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.