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Finding the Fourth Proportional to 22,647.64, 33,936.84 and 9,492.84

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Solution

The fourth proportional to 22,647.64, 33,936.84 and 9,492.84 is: 14,224.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,647.64 : 33,936.84 = 9,492.84 : x
  2. Step 2: Convert to fraction form
    22,647.64/33,936.84 = 9,492.84/x
  3. Step 3: Cross multiply
    22,647.64x = 33,936.84 × 9,492.84
  4. Step 4: Simplify right side
    22,647.64x = 322,156,992.23
  5. Step 5: Solve for x
    x = 322,156,992.23/22,647.64
  6. Step 6: Final answer
    x = 14,224.75

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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.