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Finding the Fourth Proportional to 22,274.34, 30,738.50 and 12,202.77

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Solution

The fourth proportional to 22,274.34, 30,738.50 and 12,202.77 is: 16,839.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,274.34 : 30,738.50 = 12,202.77 : x
  2. Step 2: Convert to fraction form
    22,274.34/30,738.50 = 12,202.77/x
  3. Step 3: Cross multiply
    22,274.34x = 30,738.50 × 12,202.77
  4. Step 4: Simplify right side
    22,274.34x = 375,094,784.63
  5. Step 5: Solve for x
    x = 375,094,784.63/22,274.34
  6. Step 6: Final answer
    x = 16,839.77

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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.