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Finding the Fourth Proportional to 19,842.09, 27,382.00 and 10,889.74

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Solution

The fourth proportional to 19,842.09, 27,382.00 and 10,889.74 is: 15,027.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,842.09 : 27,382.00 = 10,889.74 : x
  2. Step 2: Convert to fraction form
    19,842.09/27,382.00 = 10,889.74/x
  3. Step 3: Cross multiply
    19,842.09x = 27,382.00 × 10,889.74
  4. Step 4: Simplify right side
    19,842.09x = 298,182,888.10
  5. Step 5: Solve for x
    x = 298,182,888.10/19,842.09
  6. Step 6: Final answer
    x = 15,027.80

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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.