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Finding the Fourth Proportional to 17,846.84, 26,774.51 and 6,160.16

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Solution

The fourth proportional to 17,846.84, 26,774.51 and 6,160.16 is: 9,241.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,846.84 : 26,774.51 = 6,160.16 : x
  2. Step 2: Convert to fraction form
    17,846.84/26,774.51 = 6,160.16/x
  3. Step 3: Cross multiply
    17,846.84x = 26,774.51 × 6,160.16
  4. Step 4: Simplify right side
    17,846.84x = 164,935,265.52
  5. Step 5: Solve for x
    x = 164,935,265.52/17,846.84
  6. Step 6: Final answer
    x = 9,241.71

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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.