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Finding the Fourth Proportional to 14,653.48, 21,983.42 and 6,857.96

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Solution

The fourth proportional to 14,653.48, 21,983.42 and 6,857.96 is: 10,288.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,653.48 : 21,983.42 = 6,857.96 : x
  2. Step 2: Convert to fraction form
    14,653.48/21,983.42 = 6,857.96/x
  3. Step 3: Cross multiply
    14,653.48x = 21,983.42 × 6,857.96
  4. Step 4: Simplify right side
    14,653.48x = 150,761,415.02
  5. Step 5: Solve for x
    x = 150,761,415.02/14,653.48
  6. Step 6: Final answer
    x = 10,288.44

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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.