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Finding the Fourth Proportional to 12,965.60, 19,441.20 and 5,165.60

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Solution

The fourth proportional to 12,965.60, 19,441.20 and 5,165.60 is: 7,745.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965.60 : 19,441.20 = 5,165.60 : x
  2. Step 2: Convert to fraction form
    12,965.60/19,441.20 = 5,165.60/x
  3. Step 3: Cross multiply
    12,965.60x = 19,441.20 × 5,165.60
  4. Step 4: Simplify right side
    12,965.60x = 100,425,462.72
  5. Step 5: Solve for x
    x = 100,425,462.72/12,965.60
  6. Step 6: Final answer
    x = 7,745.53

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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.