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Finding the Fourth Proportional to 14,712.33, 20,303.15 and 7,997.97

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Solution

The fourth proportional to 14,712.33, 20,303.15 and 7,997.97 is: 11,037.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,712.33 : 20,303.15 = 7,997.97 : x
  2. Step 2: Convert to fraction form
    14,712.33/20,303.15 = 7,997.97/x
  3. Step 3: Cross multiply
    14,712.33x = 20,303.15 × 7,997.97
  4. Step 4: Simplify right side
    14,712.33x = 162,384,035.36
  5. Step 5: Solve for x
    x = 162,384,035.36/14,712.33
  6. Step 6: Final answer
    x = 11,037.27

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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.