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Finding the Fourth Proportional to 19,924.67, 27,486.81 and 12,853.37

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Solution

The fourth proportional to 19,924.67, 27,486.81 and 12,853.37 is: 17,731.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,924.67 : 27,486.81 = 12,853.37 : x
  2. Step 2: Convert to fraction form
    19,924.67/27,486.81 = 12,853.37/x
  3. Step 3: Cross multiply
    19,924.67x = 27,486.81 × 12,853.37
  4. Step 4: Simplify right side
    19,924.67x = 353,298,139.05
  5. Step 5: Solve for x
    x = 353,298,139.05/19,924.67
  6. Step 6: Final answer
    x = 17,731.69

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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.