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Finding the Fourth Proportional to 15,896.28, 23,824.98 and 5,495.88

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Solution

The fourth proportional to 15,896.28, 23,824.98 and 5,495.88 is: 8,237.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,896.28 : 23,824.98 = 5,495.88 : x
  2. Step 2: Convert to fraction form
    15,896.28/23,824.98 = 5,495.88/x
  3. Step 3: Cross multiply
    15,896.28x = 23,824.98 × 5,495.88
  4. Step 4: Simplify right side
    15,896.28x = 130,939,231.08
  5. Step 5: Solve for x
    x = 130,939,231.08/15,896.28
  6. Step 6: Final answer
    x = 8,237.10

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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.