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Finding the Fourth Proportional to 12,496.99, 18,753.04 and 5,477.41

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Solution

The fourth proportional to 12,496.99, 18,753.04 and 5,477.41 is: 8,219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,496.99 : 18,753.04 = 5,477.41 : x
  2. Step 2: Convert to fraction form
    12,496.99/18,753.04 = 5,477.41/x
  3. Step 3: Cross multiply
    12,496.99x = 18,753.04 × 5,477.41
  4. Step 4: Simplify right side
    12,496.99x = 102,718,013.63
  5. Step 5: Solve for x
    x = 102,718,013.63/12,496.99
  6. Step 6: Final answer
    x = 8,219.42

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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.