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Finding the Fourth Proportional to 19,790.82, 27,311.64 and 10,838.16

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Solution

The fourth proportional to 19,790.82, 27,311.64 and 10,838.16 is: 14,956.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,790.82 : 27,311.64 = 10,838.16 : x
  2. Step 2: Convert to fraction form
    19,790.82/27,311.64 = 10,838.16/x
  3. Step 3: Cross multiply
    19,790.82x = 27,311.64 × 10,838.16
  4. Step 4: Simplify right side
    19,790.82x = 296,007,924.18
  5. Step 5: Solve for x
    x = 296,007,924.18/19,790.82
  6. Step 6: Final answer
    x = 14,956.83

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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.