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Finding the Fourth Proportional to 17,832.84, 26,732.88 and 6,143.28

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Solution

The fourth proportional to 17,832.84, 26,732.88 and 6,143.28 is: 9,209.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,832.84 : 26,732.88 = 6,143.28 : x
  2. Step 2: Convert to fraction form
    17,832.84/26,732.88 = 6,143.28/x
  3. Step 3: Cross multiply
    17,832.84x = 26,732.88 × 6,143.28
  4. Step 4: Simplify right side
    17,832.84x = 164,227,567.05
  5. Step 5: Solve for x
    x = 164,227,567.05/17,832.84
  6. Step 6: Final answer
    x = 9,209.28

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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.