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Finding the Fourth Proportional to 12,606.24, 18,914.88 and 6,372

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Solution

The fourth proportional to 12,606.24, 18,914.88 and 6,372 is: 9,560.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,606.24 : 18,914.88 = 6,372 : x
  2. Step 2: Convert to fraction form
    12,606.24/18,914.88 = 6,372/x
  3. Step 3: Cross multiply
    12,606.24x = 18,914.88 × 6,372
  4. Step 4: Simplify right side
    12,606.24x = 120,525,615.36
  5. Step 5: Solve for x
    x = 120,525,615.36/12,606.24
  6. Step 6: Final answer
    x = 9,560.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.