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Finding the Fourth Proportional to 19,810.44, 27,338.72 and 11,853

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Solution

The fourth proportional to 19,810.44, 27,338.72 and 11,853 is: 16,357.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,810.44 : 27,338.72 = 11,853 : x
  2. Step 2: Convert to fraction form
    19,810.44/27,338.72 = 11,853/x
  3. Step 3: Cross multiply
    19,810.44x = 27,338.72 × 11,853
  4. Step 4: Simplify right side
    19,810.44x = 324,045,788.90
  5. Step 5: Solve for x
    x = 324,045,788.90/19,810.44
  6. Step 6: Final answer
    x = 16,357.32

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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.