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Finding the Fourth Proportional to 22,896.49, 31,597.68 and 12,825.67

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Solution

The fourth proportional to 22,896.49, 31,597.68 and 12,825.67 is: 17,699.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,896.49 : 31,597.68 = 12,825.67 : x
  2. Step 2: Convert to fraction form
    22,896.49/31,597.68 = 12,825.67/x
  3. Step 3: Cross multiply
    22,896.49x = 31,597.68 × 12,825.67
  4. Step 4: Simplify right side
    22,896.49x = 405,261,416.45
  5. Step 5: Solve for x
    x = 405,261,416.45/22,896.49
  6. Step 6: Final answer
    x = 17,699.72

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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.