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Finding the Fourth Proportional to 22,433.94, 33,653.97 and 7,638.84

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Solution

The fourth proportional to 22,433.94, 33,653.97 and 7,638.84 is: 11,459.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,433.94 : 33,653.97 = 7,638.84 : x
  2. Step 2: Convert to fraction form
    22,433.94/33,653.97 = 7,638.84/x
  3. Step 3: Cross multiply
    22,433.94x = 33,653.97 × 7,638.84
  4. Step 4: Simplify right side
    22,433.94x = 257,077,292.19
  5. Step 5: Solve for x
    x = 257,077,292.19/22,433.94
  6. Step 6: Final answer
    x = 11,459.30

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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.