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Finding the Fourth Proportional to 14,491.60, 19,998.32 and 8,204.24

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Solution

The fourth proportional to 14,491.60, 19,998.32 and 8,204.24 is: 11,321.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,491.60 : 19,998.32 = 8,204.24 : x
  2. Step 2: Convert to fraction form
    14,491.60/19,998.32 = 8,204.24/x
  3. Step 3: Cross multiply
    14,491.60x = 19,998.32 × 8,204.24
  4. Step 4: Simplify right side
    14,491.60x = 164,071,016.88
  5. Step 5: Solve for x
    x = 164,071,016.88/14,491.60
  6. Step 6: Final answer
    x = 11,321.80

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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.