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Finding the Fourth Proportional to 13,287.82, 18,335.28 and 7,622.82

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Solution

The fourth proportional to 13,287.82, 18,335.28 and 7,622.82 is: 10,518.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,287.82 : 18,335.28 = 7,622.82 : x
  2. Step 2: Convert to fraction form
    13,287.82/18,335.28 = 7,622.82/x
  3. Step 3: Cross multiply
    13,287.82x = 18,335.28 × 7,622.82
  4. Step 4: Simplify right side
    13,287.82x = 139,766,539.09
  5. Step 5: Solve for x
    x = 139,766,539.09/13,287.82
  6. Step 6: Final answer
    x = 10,518.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.