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Finding the Fourth Proportional to 13,227.96, 19,850.58 and 6,303

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Solution

The fourth proportional to 13,227.96, 19,850.58 and 6,303 is: 9,458.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,227.96 : 19,850.58 = 6,303 : x
  2. Step 2: Convert to fraction form
    13,227.96/19,850.58 = 6,303/x
  3. Step 3: Cross multiply
    13,227.96x = 19,850.58 × 6,303
  4. Step 4: Simplify right side
    13,227.96x = 125,118,205.74
  5. Step 5: Solve for x
    x = 125,118,205.74/13,227.96
  6. Step 6: Final answer
    x = 9,458.62

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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.