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Finding the Fourth Proportional to 19,805.09, 27,331.65 and 10,853.16

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Solution

The fourth proportional to 19,805.09, 27,331.65 and 10,853.16 is: 14,977.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,805.09 : 27,331.65 = 10,853.16 : x
  2. Step 2: Convert to fraction form
    19,805.09/27,331.65 = 10,853.16/x
  3. Step 3: Cross multiply
    19,805.09x = 27,331.65 × 10,853.16
  4. Step 4: Simplify right side
    19,805.09x = 296,634,770.51
  5. Step 5: Solve for x
    x = 296,634,770.51/19,805.09
  6. Step 6: Final answer
    x = 14,977.71

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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.