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Finding the Fourth Proportional to 22,214.94, 33,283.53 and 12,961.50

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Solution

The fourth proportional to 22,214.94, 33,283.53 and 12,961.50 is: 19,419.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,214.94 : 33,283.53 = 12,961.50 : x
  2. Step 2: Convert to fraction form
    22,214.94/33,283.53 = 12,961.50/x
  3. Step 3: Cross multiply
    22,214.94x = 33,283.53 × 12,961.50
  4. Step 4: Simplify right side
    22,214.94x = 431,404,474.10
  5. Step 5: Solve for x
    x = 431,404,474.10/22,214.94
  6. Step 6: Final answer
    x = 19,419.57

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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.