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Finding the Fourth Proportional to 17,044.72, 23,522.24 and 9,284.06

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Solution

The fourth proportional to 17,044.72, 23,522.24 and 9,284.06 is: 12,812.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,044.72 : 23,522.24 = 9,284.06 : x
  2. Step 2: Convert to fraction form
    17,044.72/23,522.24 = 9,284.06/x
  3. Step 3: Cross multiply
    17,044.72x = 23,522.24 × 9,284.06
  4. Step 4: Simplify right side
    17,044.72x = 218,381,887.49
  5. Step 5: Solve for x
    x = 218,381,887.49/17,044.72
  6. Step 6: Final answer
    x = 12,812.29

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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.