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Finding the Fourth Proportional to 20,993.50, 28,971.17 and 11,562.67

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Solution

The fourth proportional to 20,993.50, 28,971.17 and 11,562.67 is: 15,956.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,993.50 : 28,971.17 = 11,562.67 : x
  2. Step 2: Convert to fraction form
    20,993.50/28,971.17 = 11,562.67/x
  3. Step 3: Cross multiply
    20,993.50x = 28,971.17 × 11,562.67
  4. Step 4: Simplify right side
    20,993.50x = 334,984,078.22
  5. Step 5: Solve for x
    x = 334,984,078.22/20,993.50
  6. Step 6: Final answer
    x = 15,956.56

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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.