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Finding the Fourth Proportional to 22,896.96, 31,595.68 and 12,960.96

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Solution

The fourth proportional to 22,896.96, 31,595.68 and 12,960.96 is: 17,884.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,896.96 : 31,595.68 = 12,960.96 : x
  2. Step 2: Convert to fraction form
    22,896.96/31,595.68 = 12,960.96/x
  3. Step 3: Cross multiply
    22,896.96x = 31,595.68 × 12,960.96
  4. Step 4: Simplify right side
    22,896.96x = 409,510,344.65
  5. Step 5: Solve for x
    x = 409,510,344.65/22,896.96
  6. Step 6: Final answer
    x = 17,884.92

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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.