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Finding the Fourth Proportional to 14,662.68, 20,234.25 and 8,289.17

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Solution

The fourth proportional to 14,662.68, 20,234.25 and 8,289.17 is: 11,438.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,662.68 : 20,234.25 = 8,289.17 : x
  2. Step 2: Convert to fraction form
    14,662.68/20,234.25 = 8,289.17/x
  3. Step 3: Cross multiply
    14,662.68x = 20,234.25 × 8,289.17
  4. Step 4: Simplify right side
    14,662.68x = 167,725,036.90
  5. Step 5: Solve for x
    x = 167,725,036.90/14,662.68
  6. Step 6: Final answer
    x = 11,438.91

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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.