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Finding the Fourth Proportional to 22,229.34, 30,676.54 and 12,157.84

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Solution

The fourth proportional to 22,229.34, 30,676.54 and 12,157.84 is: 16,777.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,229.34 : 30,676.54 = 12,157.84 : x
  2. Step 2: Convert to fraction form
    22,229.34/30,676.54 = 12,157.84/x
  3. Step 3: Cross multiply
    22,229.34x = 30,676.54 × 12,157.84
  4. Step 4: Simplify right side
    22,229.34x = 372,960,465.07
  5. Step 5: Solve for x
    x = 372,960,465.07/22,229.34
  6. Step 6: Final answer
    x = 16,777.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.