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Finding the Fourth Proportional to 13,826.59, 20,734.03 and 7,584.82

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Solution

The fourth proportional to 13,826.59, 20,734.03 and 7,584.82 is: 11,374.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,826.59 : 20,734.03 = 7,584.82 : x
  2. Step 2: Convert to fraction form
    13,826.59/20,734.03 = 7,584.82/x
  3. Step 3: Cross multiply
    13,826.59x = 20,734.03 × 7,584.82
  4. Step 4: Simplify right side
    13,826.59x = 157,263,885.42
  5. Step 5: Solve for x
    x = 157,263,885.42/13,826.59
  6. Step 6: Final answer
    x = 11,374.02

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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.