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Finding the Fourth Proportional to 13,576.86, 20,338.95 and 10,012.50

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Solution

The fourth proportional to 13,576.86, 20,338.95 and 10,012.50 is: 14,999.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,576.86 : 20,338.95 = 10,012.50 : x
  2. Step 2: Convert to fraction form
    13,576.86/20,338.95 = 10,012.50/x
  3. Step 3: Cross multiply
    13,576.86x = 20,338.95 × 10,012.50
  4. Step 4: Simplify right side
    13,576.86x = 203,643,736.88
  5. Step 5: Solve for x
    x = 203,643,736.88/13,576.86
  6. Step 6: Final answer
    x = 14,999.33

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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.