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Finding the Fourth Proportional to 19,907.82, 27,471.76 and 10,956.16

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Solution

The fourth proportional to 19,907.82, 27,471.76 and 10,956.16 is: 15,118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,907.82 : 27,471.76 = 10,956.16 : x
  2. Step 2: Convert to fraction form
    19,907.82/27,471.76 = 10,956.16/x
  3. Step 3: Cross multiply
    19,907.82x = 27,471.76 × 10,956.16
  4. Step 4: Simplify right side
    19,907.82x = 300,984,998.04
  5. Step 5: Solve for x
    x = 300,984,998.04/19,907.82
  6. Step 6: Final answer
    x = 15,118.93

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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.