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Finding the Fourth Proportional to 19,782.80, 29,674.20 and 17,838.80

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Solution

The fourth proportional to 19,782.80, 29,674.20 and 17,838.80 is: 26,758.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.80 : 29,674.20 = 17,838.80 : x
  2. Step 2: Convert to fraction form
    19,782.80/29,674.20 = 17,838.80/x
  3. Step 3: Cross multiply
    19,782.80x = 29,674.20 × 17,838.80
  4. Step 4: Simplify right side
    19,782.80x = 529,352,118.96
  5. Step 5: Solve for x
    x = 529,352,118.96/19,782.80
  6. Step 6: Final answer
    x = 26,758.20

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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.