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Finding the Fourth Proportional to 12,965.30, 17,919.72 and 11,429.54

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Solution

The fourth proportional to 12,965.30, 17,919.72 and 11,429.54 is: 15,797.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965.30 : 17,919.72 = 11,429.54 : x
  2. Step 2: Convert to fraction form
    12,965.30/17,919.72 = 11,429.54/x
  3. Step 3: Cross multiply
    12,965.30x = 17,919.72 × 11,429.54
  4. Step 4: Simplify right side
    12,965.30x = 204,814,156.53
  5. Step 5: Solve for x
    x = 204,814,156.53/12,965.30
  6. Step 6: Final answer
    x = 15,797.10

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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.