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Finding the Fourth Proportional to 14,252.92, 21,383.70 and 6,855.28

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Solution

The fourth proportional to 14,252.92, 21,383.70 and 6,855.28 is: 10,285.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,252.92 : 21,383.70 = 6,855.28 : x
  2. Step 2: Convert to fraction form
    14,252.92/21,383.70 = 6,855.28/x
  3. Step 3: Cross multiply
    14,252.92x = 21,383.70 × 6,855.28
  4. Step 4: Simplify right side
    14,252.92x = 146,591,250.94
  5. Step 5: Solve for x
    x = 146,591,250.94/14,252.92
  6. Step 6: Final answer
    x = 10,285.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.