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Finding the Fourth Proportional to 23,022.70, 31,771.86 and 12,813.84

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Solution

The fourth proportional to 23,022.70, 31,771.86 and 12,813.84 is: 17,683.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,022.70 : 31,771.86 = 12,813.84 : x
  2. Step 2: Convert to fraction form
    23,022.70/31,771.86 = 12,813.84/x
  3. Step 3: Cross multiply
    23,022.70x = 31,771.86 × 12,813.84
  4. Step 4: Simplify right side
    23,022.70x = 407,119,530.54
  5. Step 5: Solve for x
    x = 407,119,530.54/23,022.70
  6. Step 6: Final answer
    x = 17,683.40

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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.