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Finding the Fourth Proportional to 15,900.36, 23,851 and 4,213.58

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Solution

The fourth proportional to 15,900.36, 23,851 and 4,213.58 is: 6,320.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,900.36 : 23,851 = 4,213.58 : x
  2. Step 2: Convert to fraction form
    15,900.36/23,851 = 4,213.58/x
  3. Step 3: Cross multiply
    15,900.36x = 23,851 × 4,213.58
  4. Step 4: Simplify right side
    15,900.36x = 100,498,096.58
  5. Step 5: Solve for x
    x = 100,498,096.58/15,900.36
  6. Step 6: Final answer
    x = 6,320.49

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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.