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Finding the Fourth Proportional to 19,846.31, 27,382.29 and 12,776.82

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Solution

The fourth proportional to 19,846.31, 27,382.29 and 12,776.82 is: 17,628.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,846.31 : 27,382.29 = 12,776.82 : x
  2. Step 2: Convert to fraction form
    19,846.31/27,382.29 = 12,776.82/x
  3. Step 3: Cross multiply
    19,846.31x = 27,382.29 × 12,776.82
  4. Step 4: Simplify right side
    19,846.31x = 349,858,590.52
  5. Step 5: Solve for x
    x = 349,858,590.52/19,846.31
  6. Step 6: Final answer
    x = 17,628.40

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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.