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Finding the Fourth Proportional to 22,643.38, 33,954.14 and 9,492.22

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Solution

The fourth proportional to 22,643.38, 33,954.14 and 9,492.22 is: 14,233.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,643.38 : 33,954.14 = 9,492.22 : x
  2. Step 2: Convert to fraction form
    22,643.38/33,954.14 = 9,492.22/x
  3. Step 3: Cross multiply
    22,643.38x = 33,954.14 × 9,492.22
  4. Step 4: Simplify right side
    22,643.38x = 322,300,166.79
  5. Step 5: Solve for x
    x = 322,300,166.79/22,643.38
  6. Step 6: Final answer
    x = 14,233.75

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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.