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Finding the Fourth Proportional to 17,827.92, 26,729.28 and 7,827.84

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Solution

The fourth proportional to 17,827.92, 26,729.28 and 7,827.84 is: 11,736.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,827.92 : 26,729.28 = 7,827.84 : x
  2. Step 2: Convert to fraction form
    17,827.92/26,729.28 = 7,827.84/x
  3. Step 3: Cross multiply
    17,827.92x = 26,729.28 × 7,827.84
  4. Step 4: Simplify right side
    17,827.92x = 209,232,527.16
  5. Step 5: Solve for x
    x = 209,232,527.16/17,827.92
  6. Step 6: Final answer
    x = 11,736.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.