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Finding the Fourth Proportional to 12,728.64, 19,005.84 and 11,403.84

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Solution

The fourth proportional to 12,728.64, 19,005.84 and 11,403.84 is: 17,027.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,728.64 : 19,005.84 = 11,403.84 : x
  2. Step 2: Convert to fraction form
    12,728.64/19,005.84 = 11,403.84/x
  3. Step 3: Cross multiply
    12,728.64x = 19,005.84 × 11,403.84
  4. Step 4: Simplify right side
    12,728.64x = 216,739,558.43
  5. Step 5: Solve for x
    x = 216,739,558.43/12,728.64
  6. Step 6: Final answer
    x = 17,027.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.