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Finding the Fourth Proportional to 22,846.28, 31,524.76 and 12,773.48

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Solution

The fourth proportional to 22,846.28, 31,524.76 and 12,773.48 is: 17,625.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,846.28 : 31,524.76 = 12,773.48 : x
  2. Step 2: Convert to fraction form
    22,846.28/31,524.76 = 12,773.48/x
  3. Step 3: Cross multiply
    22,846.28x = 31,524.76 × 12,773.48
  4. Step 4: Simplify right side
    22,846.28x = 402,680,891.36
  5. Step 5: Solve for x
    x = 402,680,891.36/22,846.28
  6. Step 6: Final answer
    x = 17,625.67

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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.