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Finding the Fourth Proportional to 13,711.37, 20,568.76 and 4,824.60

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Solution

The fourth proportional to 13,711.37, 20,568.76 and 4,824.60 is: 7,237.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.37 : 20,568.76 = 4,824.60 : x
  2. Step 2: Convert to fraction form
    13,711.37/20,568.76 = 4,824.60/x
  3. Step 3: Cross multiply
    13,711.37x = 20,568.76 × 4,824.60
  4. Step 4: Simplify right side
    13,711.37x = 99,236,093.14
  5. Step 5: Solve for x
    x = 99,236,093.14/13,711.37
  6. Step 6: Final answer
    x = 7,237.50

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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.