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Finding the Fourth Proportional to 20,105.76, 30,154.04 and 7,627.17

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Solution

The fourth proportional to 20,105.76, 30,154.04 and 7,627.17 is: 11,439.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,105.76 : 30,154.04 = 7,627.17 : x
  2. Step 2: Convert to fraction form
    20,105.76/30,154.04 = 7,627.17/x
  3. Step 3: Cross multiply
    20,105.76x = 30,154.04 × 7,627.17
  4. Step 4: Simplify right side
    20,105.76x = 229,989,838.50
  5. Step 5: Solve for x
    x = 229,989,838.50/20,105.76
  6. Step 6: Final answer
    x = 11,439.01

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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.