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Finding the Fourth Proportional to 12,728.16, 19,098.72 and 11,765.92

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Solution

The fourth proportional to 12,728.16, 19,098.72 and 11,765.92 is: 17,654.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,728.16 : 19,098.72 = 11,765.92 : x
  2. Step 2: Convert to fraction form
    12,728.16/19,098.72 = 11,765.92/x
  3. Step 3: Cross multiply
    12,728.16x = 19,098.72 × 11,765.92
  4. Step 4: Simplify right side
    12,728.16x = 224,714,011.62
  5. Step 5: Solve for x
    x = 224,714,011.62/12,728.16
  6. Step 6: Final answer
    x = 17,654.87

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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.