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Finding the Fourth Proportional to 20,614.88, 30,924.56 and 6,571.60

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Solution

The fourth proportional to 20,614.88, 30,924.56 and 6,571.60 is: 9,858.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,614.88 : 30,924.56 = 6,571.60 : x
  2. Step 2: Convert to fraction form
    20,614.88/30,924.56 = 6,571.60/x
  3. Step 3: Cross multiply
    20,614.88x = 30,924.56 × 6,571.60
  4. Step 4: Simplify right side
    20,614.88x = 203,223,838.50
  5. Step 5: Solve for x
    x = 203,223,838.50/20,614.88
  6. Step 6: Final answer
    x = 9,858.11

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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.