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Finding the Fourth Proportional to 13,826.70, 20,742.08 and 5,059.53

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Solution

The fourth proportional to 13,826.70, 20,742.08 and 5,059.53 is: 7,590.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,826.70 : 20,742.08 = 5,059.53 : x
  2. Step 2: Convert to fraction form
    13,826.70/20,742.08 = 5,059.53/x
  3. Step 3: Cross multiply
    13,826.70x = 20,742.08 × 5,059.53
  4. Step 4: Simplify right side
    13,826.70x = 104,945,150.72
  5. Step 5: Solve for x
    x = 104,945,150.72/13,826.70
  6. Step 6: Final answer
    x = 7,590.04

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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.