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Finding the Fourth Proportional to 13,780.62, 20,666.07 and 6,383.70

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Solution

The fourth proportional to 13,780.62, 20,666.07 and 6,383.70 is: 9,573.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.62 : 20,666.07 = 6,383.70 : x
  2. Step 2: Convert to fraction form
    13,780.62/20,666.07 = 6,383.70/x
  3. Step 3: Cross multiply
    13,780.62x = 20,666.07 × 6,383.70
  4. Step 4: Simplify right side
    13,780.62x = 131,925,991.06
  5. Step 5: Solve for x
    x = 131,925,991.06/13,780.62
  6. Step 6: Final answer
    x = 9,573.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.