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Finding the Fourth Proportional to 20,969.88, 28,937.10 and 11,409.67

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Solution

The fourth proportional to 20,969.88, 28,937.10 and 11,409.67 is: 15,744.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,969.88 : 28,937.10 = 11,409.67 : x
  2. Step 2: Convert to fraction form
    20,969.88/28,937.10 = 11,409.67/x
  3. Step 3: Cross multiply
    20,969.88x = 28,937.10 × 11,409.67
  4. Step 4: Simplify right side
    20,969.88x = 330,162,761.76
  5. Step 5: Solve for x
    x = 330,162,761.76/20,969.88
  6. Step 6: Final answer
    x = 15,744.62

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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.