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Finding the Fourth Proportional to 25,464.50, 38,212.11 and 10,872.50

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Solution

The fourth proportional to 25,464.50, 38,212.11 and 10,872.50 is: 16,315.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,464.50 : 38,212.11 = 10,872.50 : x
  2. Step 2: Convert to fraction form
    25,464.50/38,212.11 = 10,872.50/x
  3. Step 3: Cross multiply
    25,464.50x = 38,212.11 × 10,872.50
  4. Step 4: Simplify right side
    25,464.50x = 415,461,165.98
  5. Step 5: Solve for x
    x = 415,461,165.98/25,464.50
  6. Step 6: Final answer
    x = 16,315.31

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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.