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Finding the Fourth Proportional to 20,813.78, 28,738.06 and 12,866.90

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Solution

The fourth proportional to 20,813.78, 28,738.06 and 12,866.90 is: 17,765.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,813.78 : 28,738.06 = 12,866.90 : x
  2. Step 2: Convert to fraction form
    20,813.78/28,738.06 = 12,866.90/x
  3. Step 3: Cross multiply
    20,813.78x = 28,738.06 × 12,866.90
  4. Step 4: Simplify right side
    20,813.78x = 369,769,744.21
  5. Step 5: Solve for x
    x = 369,769,744.21/20,813.78
  6. Step 6: Final answer
    x = 17,765.62

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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.