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Finding the Fourth Proportional to 14,996.53, 20,695.14 and 8,282.13

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Solution

The fourth proportional to 14,996.53, 20,695.14 and 8,282.13 is: 11,429.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,996.53 : 20,695.14 = 8,282.13 : x
  2. Step 2: Convert to fraction form
    14,996.53/20,695.14 = 8,282.13/x
  3. Step 3: Cross multiply
    14,996.53x = 20,695.14 × 8,282.13
  4. Step 4: Simplify right side
    14,996.53x = 171,399,736.37
  5. Step 5: Solve for x
    x = 171,399,736.37/14,996.53
  6. Step 6: Final answer
    x = 11,429.29

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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.