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Finding the Fourth Proportional to 22,644.10, 33,955.23 and 9,492.94

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Solution

The fourth proportional to 22,644.10, 33,955.23 and 9,492.94 is: 14,234.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,644.10 : 33,955.23 = 9,492.94 : x
  2. Step 2: Convert to fraction form
    22,644.10/33,955.23 = 9,492.94/x
  3. Step 3: Cross multiply
    22,644.10x = 33,955.23 × 9,492.94
  4. Step 4: Simplify right side
    22,644.10x = 322,335,039.12
  5. Step 5: Solve for x
    x = 322,335,039.12/22,644.10
  6. Step 6: Final answer
    x = 14,234.83

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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.