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Finding the Fourth Proportional to 22,674.90, 33,977.72 and 9,520.14

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Solution

The fourth proportional to 22,674.90, 33,977.72 and 9,520.14 is: 14,265.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,674.90 : 33,977.72 = 9,520.14 : x
  2. Step 2: Convert to fraction form
    22,674.90/33,977.72 = 9,520.14/x
  3. Step 3: Cross multiply
    22,674.90x = 33,977.72 × 9,520.14
  4. Step 4: Simplify right side
    22,674.90x = 323,472,651.28
  5. Step 5: Solve for x
    x = 323,472,651.28/22,674.90
  6. Step 6: Final answer
    x = 14,265.67

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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.