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Finding the Fourth Proportional to 16,274.45, 22,461.13 and 10,306.67

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Solution

The fourth proportional to 16,274.45, 22,461.13 and 10,306.67 is: 14,224.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,274.45 : 22,461.13 = 10,306.67 : x
  2. Step 2: Convert to fraction form
    16,274.45/22,461.13 = 10,306.67/x
  3. Step 3: Cross multiply
    16,274.45x = 22,461.13 × 10,306.67
  4. Step 4: Simplify right side
    16,274.45x = 231,499,481.66
  5. Step 5: Solve for x
    x = 231,499,481.66/16,274.45
  6. Step 6: Final answer
    x = 14,224.72

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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.