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Finding the Fourth Proportional to 13,592.67, 20,380.80 and 6,094.87

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Solution

The fourth proportional to 13,592.67, 20,380.80 and 6,094.87 is: 9,138.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,592.67 : 20,380.80 = 6,094.87 : x
  2. Step 2: Convert to fraction form
    13,592.67/20,380.80 = 6,094.87/x
  3. Step 3: Cross multiply
    13,592.67x = 20,380.80 × 6,094.87
  4. Step 4: Simplify right side
    13,592.67x = 124,218,326.50
  5. Step 5: Solve for x
    x = 124,218,326.50/13,592.67
  6. Step 6: Final answer
    x = 9,138.63

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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.