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Finding the Fourth Proportional to 14,288.80, 21,447.03 and 6,898.44

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Solution

The fourth proportional to 14,288.80, 21,447.03 and 6,898.44 is: 10,354.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,288.80 : 21,447.03 = 6,898.44 : x
  2. Step 2: Convert to fraction form
    14,288.80/21,447.03 = 6,898.44/x
  3. Step 3: Cross multiply
    14,288.80x = 21,447.03 × 6,898.44
  4. Step 4: Simplify right side
    14,288.80x = 147,951,049.63
  5. Step 5: Solve for x
    x = 147,951,049.63/14,288.80
  6. Step 6: Final answer
    x = 10,354.34

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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.