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Finding the Fourth Proportional to 22,895.49, 31,596.30 and 12,824.67

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Solution

The fourth proportional to 22,895.49, 31,596.30 and 12,824.67 is: 17,698.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,895.49 : 31,596.30 = 12,824.67 : x
  2. Step 2: Convert to fraction form
    22,895.49/31,596.30 = 12,824.67/x
  3. Step 3: Cross multiply
    22,895.49x = 31,596.30 × 12,824.67
  4. Step 4: Simplify right side
    22,895.49x = 405,212,120.72
  5. Step 5: Solve for x
    x = 405,212,120.72/22,895.49
  6. Step 6: Final answer
    x = 17,698.34

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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.