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Finding the Fourth Proportional to 14,321.97, 19,763.03 and 8,354.16

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Solution

The fourth proportional to 14,321.97, 19,763.03 and 8,354.16 is: 11,527.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,321.97 : 19,763.03 = 8,354.16 : x
  2. Step 2: Convert to fraction form
    14,321.97/19,763.03 = 8,354.16/x
  3. Step 3: Cross multiply
    14,321.97x = 19,763.03 × 8,354.16
  4. Step 4: Simplify right side
    14,321.97x = 165,103,472.93
  5. Step 5: Solve for x
    x = 165,103,472.93/14,321.97
  6. Step 6: Final answer
    x = 11,527.99

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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.