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Finding the Fourth Proportional to 12,496.40, 17,250.60 and 7,783.84

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Solution

The fourth proportional to 12,496.40, 17,250.60 and 7,783.84 is: 10,745.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,496.40 : 17,250.60 = 7,783.84 : x
  2. Step 2: Convert to fraction form
    12,496.40/17,250.60 = 7,783.84/x
  3. Step 3: Cross multiply
    12,496.40x = 17,250.60 × 7,783.84
  4. Step 4: Simplify right side
    12,496.40x = 134,275,910.30
  5. Step 5: Solve for x
    x = 134,275,910.30/12,496.40
  6. Step 6: Final answer
    x = 10,745.17

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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.