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Finding the Fourth Proportional to 14,283.14, 19,705.96 and 8,313.54

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Solution

The fourth proportional to 14,283.14, 19,705.96 and 8,313.54 is: 11,469.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,283.14 : 19,705.96 = 8,313.54 : x
  2. Step 2: Convert to fraction form
    14,283.14/19,705.96 = 8,313.54/x
  3. Step 3: Cross multiply
    14,283.14x = 19,705.96 × 8,313.54
  4. Step 4: Simplify right side
    14,283.14x = 163,826,146.60
  5. Step 5: Solve for x
    x = 163,826,146.60/14,283.14
  6. Step 6: Final answer
    x = 11,469.90

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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.