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Finding the Fourth Proportional to 25,558.50, 38,343.84 and 8,028.32

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Solution

The fourth proportional to 25,558.50, 38,343.84 and 8,028.32 is: 12,044.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,558.50 : 38,343.84 = 8,028.32 : x
  2. Step 2: Convert to fraction form
    25,558.50/38,343.84 = 8,028.32/x
  3. Step 3: Cross multiply
    25,558.50x = 38,343.84 × 8,028.32
  4. Step 4: Simplify right side
    25,558.50x = 307,836,617.55
  5. Step 5: Solve for x
    x = 307,836,617.55/25,558.50
  6. Step 6: Final answer
    x = 12,044.39

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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.