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Finding the Fourth Proportional to 20,113.77, 30,170.75 and 8,274

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Solution

The fourth proportional to 20,113.77, 30,170.75 and 8,274 is: 12,411.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,113.77 : 30,170.75 = 8,274 : x
  2. Step 2: Convert to fraction form
    20,113.77/30,170.75 = 8,274/x
  3. Step 3: Cross multiply
    20,113.77x = 30,170.75 × 8,274
  4. Step 4: Simplify right side
    20,113.77x = 249,632,785.50
  5. Step 5: Solve for x
    x = 249,632,785.50/20,113.77
  6. Step 6: Final answer
    x = 12,411.04

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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.