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Finding the Fourth Proportional to 13,644.40, 18,828.12 and 7,675.60

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Solution

The fourth proportional to 13,644.40, 18,828.12 and 7,675.60 is: 10,591.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.40 : 18,828.12 = 7,675.60 : x
  2. Step 2: Convert to fraction form
    13,644.40/18,828.12 = 7,675.60/x
  3. Step 3: Cross multiply
    13,644.40x = 18,828.12 × 7,675.60
  4. Step 4: Simplify right side
    13,644.40x = 144,517,117.87
  5. Step 5: Solve for x
    x = 144,517,117.87/13,644.40
  6. Step 6: Final answer
    x = 10,591.68

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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.