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Finding the Fourth Proportional to 14,396.91, 19,865.97 and 8,427.21

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Solution

The fourth proportional to 14,396.91, 19,865.97 and 8,427.21 is: 11,628.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,396.91 : 19,865.97 = 8,427.21 : x
  2. Step 2: Convert to fraction form
    14,396.91/19,865.97 = 8,427.21/x
  3. Step 3: Cross multiply
    14,396.91x = 19,865.97 × 8,427.21
  4. Step 4: Simplify right side
    14,396.91x = 167,414,701.04
  5. Step 5: Solve for x
    x = 167,414,701.04/14,396.91
  6. Step 6: Final answer
    x = 11,628.52

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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.