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Finding the Fourth Proportional to 19,285.90, 28,933.08 and 8,202.07

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Solution

The fourth proportional to 19,285.90, 28,933.08 and 8,202.07 is: 12,304.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,285.90 : 28,933.08 = 8,202.07 : x
  2. Step 2: Convert to fraction form
    19,285.90/28,933.08 = 8,202.07/x
  3. Step 3: Cross multiply
    19,285.90x = 28,933.08 × 8,202.07
  4. Step 4: Simplify right side
    19,285.90x = 237,311,147.48
  5. Step 5: Solve for x
    x = 237,311,147.48/19,285.90
  6. Step 6: Final answer
    x = 12,304.90

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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.