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Finding the Fourth Proportional to 22,643.44, 33,954.24 and 9,492.28

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Solution

The fourth proportional to 22,643.44, 33,954.24 and 9,492.28 is: 14,233.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,643.44 : 33,954.24 = 9,492.28 : x
  2. Step 2: Convert to fraction form
    22,643.44/33,954.24 = 9,492.28/x
  3. Step 3: Cross multiply
    22,643.44x = 33,954.24 × 9,492.28
  4. Step 4: Simplify right side
    22,643.44x = 322,303,105.81
  5. Step 5: Solve for x
    x = 322,303,105.81/22,643.44
  6. Step 6: Final answer
    x = 14,233.84

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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.