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Finding the Fourth Proportional to 15,891.99, 23,824.26 and 6,038.34

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Solution

The fourth proportional to 15,891.99, 23,824.26 and 6,038.34 is: 9,052.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,891.99 : 23,824.26 = 6,038.34 : x
  2. Step 2: Convert to fraction form
    15,891.99/23,824.26 = 6,038.34/x
  3. Step 3: Cross multiply
    15,891.99x = 23,824.26 × 6,038.34
  4. Step 4: Simplify right side
    15,891.99x = 143,858,982.13
  5. Step 5: Solve for x
    x = 143,858,982.13/15,891.99
  6. Step 6: Final answer
    x = 9,052.30

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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.