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Finding the Fourth Proportional to 14,766.96, 20,372.40 and 9,464.88

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Solution

The fourth proportional to 14,766.96, 20,372.40 and 9,464.88 is: 13,057.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,766.96 : 20,372.40 = 9,464.88 : x
  2. Step 2: Convert to fraction form
    14,766.96/20,372.40 = 9,464.88/x
  3. Step 3: Cross multiply
    14,766.96x = 20,372.40 × 9,464.88
  4. Step 4: Simplify right side
    14,766.96x = 192,822,321.31
  5. Step 5: Solve for x
    x = 192,822,321.31/14,766.96
  6. Step 6: Final answer
    x = 13,057.69

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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.