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Finding the Fourth Proportional to 14,997.82, 20,696.58 and 8,282.97

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Solution

The fourth proportional to 14,997.82, 20,696.58 and 8,282.97 is: 11,430.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,997.82 : 20,696.58 = 8,282.97 : x
  2. Step 2: Convert to fraction form
    14,997.82/20,696.58 = 8,282.97/x
  3. Step 3: Cross multiply
    14,997.82x = 20,696.58 × 8,282.97
  4. Step 4: Simplify right side
    14,997.82x = 171,429,047.76
  5. Step 5: Solve for x
    x = 171,429,047.76/14,997.82
  6. Step 6: Final answer
    x = 11,430.27

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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.