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Finding the Fourth Proportional to 13,644.95, 18,828.69 and 7,676.49

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Solution

The fourth proportional to 13,644.95, 18,828.69 and 7,676.49 is: 10,592.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.95 : 18,828.69 = 7,676.49 : x
  2. Step 2: Convert to fraction form
    13,644.95/18,828.69 = 7,676.49/x
  3. Step 3: Cross multiply
    13,644.95x = 18,828.69 × 7,676.49
  4. Step 4: Simplify right side
    13,644.95x = 144,538,250.50
  5. Step 5: Solve for x
    x = 144,538,250.50/13,644.95
  6. Step 6: Final answer
    x = 10,592.81

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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.