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Finding the Fourth Proportional to 20,521.80, 30,782.70 and 16,828.20

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Solution

The fourth proportional to 20,521.80, 30,782.70 and 16,828.20 is: 25,242.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,521.80 : 30,782.70 = 16,828.20 : x
  2. Step 2: Convert to fraction form
    20,521.80/30,782.70 = 16,828.20/x
  3. Step 3: Cross multiply
    20,521.80x = 30,782.70 × 16,828.20
  4. Step 4: Simplify right side
    20,521.80x = 518,017,432.14
  5. Step 5: Solve for x
    x = 518,017,432.14/20,521.80
  6. Step 6: Final answer
    x = 25,242.30

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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.