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Finding the Fourth Proportional to 19,782.99, 29,674.41 and 8,096.21

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Solution

The fourth proportional to 19,782.99, 29,674.41 and 8,096.21 is: 12,144.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.99 : 29,674.41 = 8,096.21 : x
  2. Step 2: Convert to fraction form
    19,782.99/29,674.41 = 8,096.21/x
  3. Step 3: Cross multiply
    19,782.99x = 29,674.41 × 8,096.21
  4. Step 4: Simplify right side
    19,782.99x = 240,250,254.99
  5. Step 5: Solve for x
    x = 240,250,254.99/19,782.99
  6. Step 6: Final answer
    x = 12,144.28

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Double scale
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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.