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Finding the Fourth Proportional to 13,615.46, 18,789.22 and 7,647

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Solution

The fourth proportional to 13,615.46, 18,789.22 and 7,647 is: 10,552.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,615.46 : 18,789.22 = 7,647 : x
  2. Step 2: Convert to fraction form
    13,615.46/18,789.22 = 7,647/x
  3. Step 3: Cross multiply
    13,615.46x = 18,789.22 × 7,647
  4. Step 4: Simplify right side
    13,615.46x = 143,681,165.34
  5. Step 5: Solve for x
    x = 143,681,165.34/13,615.46
  6. Step 6: Final answer
    x = 10,552.80

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