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Finding the Fourth Proportional to 19,712.64, 29,553.24 and 11,383.20

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Solution

The fourth proportional to 19,712.64, 29,553.24 and 11,383.20 is: 17,065.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,712.64 : 29,553.24 = 11,383.20 : x
  2. Step 2: Convert to fraction form
    19,712.64/29,553.24 = 11,383.20/x
  3. Step 3: Cross multiply
    19,712.64x = 29,553.24 × 11,383.20
  4. Step 4: Simplify right side
    19,712.64x = 336,410,441.57
  5. Step 5: Solve for x
    x = 336,410,441.57/19,712.64
  6. Step 6: Final answer
    x = 17,065.72

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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.