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Finding the Fourth Proportional to 14,321.40, 19,763.67 and 8,271.19

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Solution

The fourth proportional to 14,321.40, 19,763.67 and 8,271.19 is: 11,414.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,321.40 : 19,763.67 = 8,271.19 : x
  2. Step 2: Convert to fraction form
    14,321.40/19,763.67 = 8,271.19/x
  3. Step 3: Cross multiply
    14,321.40x = 19,763.67 × 8,271.19
  4. Step 4: Simplify right side
    14,321.40x = 163,469,069.67
  5. Step 5: Solve for x
    x = 163,469,069.67/14,321.40
  6. Step 6: Final answer
    x = 11,414.32

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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.