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Finding the Fourth Proportional to 14,663.84, 20,236.50 and 8,289.14

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Solution

The fourth proportional to 14,663.84, 20,236.50 and 8,289.14 is: 11,439.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,663.84 : 20,236.50 = 8,289.14 : x
  2. Step 2: Convert to fraction form
    14,663.84/20,236.50 = 8,289.14/x
  3. Step 3: Cross multiply
    14,663.84x = 20,236.50 × 8,289.14
  4. Step 4: Simplify right side
    14,663.84x = 167,743,080.43
  5. Step 5: Solve for x
    x = 167,743,080.43/14,663.84
  6. Step 6: Final answer
    x = 11,439.24

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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.