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Finding the Fourth Proportional to 22,454.46, 33,638.58 and 12,563.76

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Solution

The fourth proportional to 22,454.46, 33,638.58 and 12,563.76 is: 18,821.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,454.46 : 33,638.58 = 12,563.76 : x
  2. Step 2: Convert to fraction form
    22,454.46/33,638.58 = 12,563.76/x
  3. Step 3: Cross multiply
    22,454.46x = 33,638.58 × 12,563.76
  4. Step 4: Simplify right side
    22,454.46x = 422,627,045.86
  5. Step 5: Solve for x
    x = 422,627,045.86/22,454.46
  6. Step 6: Final answer
    x = 18,821.52

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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.