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Finding the Fourth Proportional to 14,662.84, 20,238.24 and 8,378.86

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Solution

The fourth proportional to 14,662.84, 20,238.24 and 8,378.86 is: 11,564.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,662.84 : 20,238.24 = 8,378.86 : x
  2. Step 2: Convert to fraction form
    14,662.84/20,238.24 = 8,378.86/x
  3. Step 3: Cross multiply
    14,662.84x = 20,238.24 × 8,378.86
  4. Step 4: Simplify right side
    14,662.84x = 169,573,379.61
  5. Step 5: Solve for x
    x = 169,573,379.61/14,662.84
  6. Step 6: Final answer
    x = 11,564.84

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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.