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Finding the Fourth Proportional to 14,667.96, 20,236.47 and 9,634.89

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Solution

The fourth proportional to 14,667.96, 20,236.47 and 9,634.89 is: 13,292.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,667.96 : 20,236.47 = 9,634.89 : x
  2. Step 2: Convert to fraction form
    14,667.96/20,236.47 = 9,634.89/x
  3. Step 3: Cross multiply
    14,667.96x = 20,236.47 × 9,634.89
  4. Step 4: Simplify right side
    14,667.96x = 194,976,162.44
  5. Step 5: Solve for x
    x = 194,976,162.44/14,667.96
  6. Step 6: Final answer
    x = 13,292.66

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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.