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Finding the Fourth Proportional to 13,268, 19,902.50 and 4,950.12

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Solution

The fourth proportional to 13,268, 19,902.50 and 4,950.12 is: 7,425.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,268 : 19,902.50 = 4,950.12 : x
  2. Step 2: Convert to fraction form
    13,268/19,902.50 = 4,950.12/x
  3. Step 3: Cross multiply
    13,268x = 19,902.50 × 4,950.12
  4. Step 4: Simplify right side
    13,268x = 98,519,763.30
  5. Step 5: Solve for x
    x = 98,519,763.30/13,268
  6. Step 6: Final answer
    x = 7,425.37

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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.