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Finding the Fourth Proportional to 13,780.98, 20,656.89 and 6,763.14

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Solution

The fourth proportional to 13,780.98, 20,656.89 and 6,763.14 is: 10,137.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.98 : 20,656.89 = 6,763.14 : x
  2. Step 2: Convert to fraction form
    13,780.98/20,656.89 = 6,763.14/x
  3. Step 3: Cross multiply
    13,780.98x = 20,656.89 × 6,763.14
  4. Step 4: Simplify right side
    13,780.98x = 139,705,439.03
  5. Step 5: Solve for x
    x = 139,705,439.03/13,780.98
  6. Step 6: Final answer
    x = 10,137.55

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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.