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Finding the Fourth Proportional to 20,173.92, 27,832.36 and 12,513.64

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Solution

The fourth proportional to 20,173.92, 27,832.36 and 12,513.64 is: 17,264.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,173.92 : 27,832.36 = 12,513.64 : x
  2. Step 2: Convert to fraction form
    20,173.92/27,832.36 = 12,513.64/x
  3. Step 3: Cross multiply
    20,173.92x = 27,832.36 × 12,513.64
  4. Step 4: Simplify right side
    20,173.92x = 348,284,133.39
  5. Step 5: Solve for x
    x = 348,284,133.39/20,173.92
  6. Step 6: Final answer
    x = 17,264.08

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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.