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Finding the Fourth Proportional to 13,573.14, 20,360 and 3,712.36

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Solution

The fourth proportional to 13,573.14, 20,360 and 3,712.36 is: 5,568.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,573.14 : 20,360 = 3,712.36 : x
  2. Step 2: Convert to fraction form
    13,573.14/20,360 = 3,712.36/x
  3. Step 3: Cross multiply
    13,573.14x = 20,360 × 3,712.36
  4. Step 4: Simplify right side
    13,573.14x = 75,583,649.60
  5. Step 5: Solve for x
    x = 75,583,649.60/13,573.14
  6. Step 6: Final answer
    x = 5,568.62

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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.