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Finding the Fourth Proportional to 15,843.88, 23,764.02 and 4,158.01

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Solution

The fourth proportional to 15,843.88, 23,764.02 and 4,158.01 is: 6,236.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,843.88 : 23,764.02 = 4,158.01 : x
  2. Step 2: Convert to fraction form
    15,843.88/23,764.02 = 4,158.01/x
  3. Step 3: Cross multiply
    15,843.88x = 23,764.02 × 4,158.01
  4. Step 4: Simplify right side
    15,843.88x = 98,811,032.80
  5. Step 5: Solve for x
    x = 98,811,032.80/15,843.88
  6. Step 6: Final answer
    x = 6,236.54

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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.