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Finding the Fourth Proportional to 20,225.70, 30,327.21 and 15,534

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Solution

The fourth proportional to 20,225.70, 30,327.21 and 15,534 is: 23,292.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,225.70 : 30,327.21 = 15,534 : x
  2. Step 2: Convert to fraction form
    20,225.70/30,327.21 = 15,534/x
  3. Step 3: Cross multiply
    20,225.70x = 30,327.21 × 15,534
  4. Step 4: Simplify right side
    20,225.70x = 471,102,880.14
  5. Step 5: Solve for x
    x = 471,102,880.14/20,225.70
  6. Step 6: Final answer
    x = 23,292.29

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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.