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Finding the Fourth Proportional to 19,773.64, 27,282.18 and 11,812.96

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Solution

The fourth proportional to 19,773.64, 27,282.18 and 11,812.96 is: 16,298.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,773.64 : 27,282.18 = 11,812.96 : x
  2. Step 2: Convert to fraction form
    19,773.64/27,282.18 = 11,812.96/x
  3. Step 3: Cross multiply
    19,773.64x = 27,282.18 × 11,812.96
  4. Step 4: Simplify right side
    19,773.64x = 322,283,301.05
  5. Step 5: Solve for x
    x = 322,283,301.05/19,773.64
  6. Step 6: Final answer
    x = 16,298.63

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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.