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Finding the Fourth Proportional to 14,770.65, 20,383.53 and 9,468.54

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Solution

The fourth proportional to 14,770.65, 20,383.53 and 9,468.54 is: 13,066.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,770.65 : 20,383.53 = 9,468.54 : x
  2. Step 2: Convert to fraction form
    14,770.65/20,383.53 = 9,468.54/x
  3. Step 3: Cross multiply
    14,770.65x = 20,383.53 × 9,468.54
  4. Step 4: Simplify right side
    14,770.65x = 193,002,269.15
  5. Step 5: Solve for x
    x = 193,002,269.15/14,770.65
  6. Step 6: Final answer
    x = 13,066.61

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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.