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Finding the Fourth Proportional to 14,662.32, 20,233.53 and 8,289.15

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Solution

The fourth proportional to 14,662.32, 20,233.53 and 8,289.15 is: 11,438.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,662.32 : 20,233.53 = 8,289.15 : x
  2. Step 2: Convert to fraction form
    14,662.32/20,233.53 = 8,289.15/x
  3. Step 3: Cross multiply
    14,662.32x = 20,233.53 × 8,289.15
  4. Step 4: Simplify right side
    14,662.32x = 167,718,765.20
  5. Step 5: Solve for x
    x = 167,718,765.20/14,662.32
  6. Step 6: Final answer
    x = 11,438.76

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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.