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Finding the Fourth Proportional to 14,780.56, 20,397.56 and 8,406.96

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Solution

The fourth proportional to 14,780.56, 20,397.56 and 8,406.96 is: 11,601.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,780.56 : 20,397.56 = 8,406.96 : x
  2. Step 2: Convert to fraction form
    14,780.56/20,397.56 = 8,406.96/x
  3. Step 3: Cross multiply
    14,780.56x = 20,397.56 × 8,406.96
  4. Step 4: Simplify right side
    14,780.56x = 171,481,471.02
  5. Step 5: Solve for x
    x = 171,481,471.02/14,780.56
  6. Step 6: Final answer
    x = 11,601.83

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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.