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Finding the Fourth Proportional to 13,790.21, 20,688.42 and 5,025.16

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Solution

The fourth proportional to 13,790.21, 20,688.42 and 5,025.16 is: 7,538.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,790.21 : 20,688.42 = 5,025.16 : x
  2. Step 2: Convert to fraction form
    13,790.21/20,688.42 = 5,025.16/x
  3. Step 3: Cross multiply
    13,790.21x = 20,688.42 × 5,025.16
  4. Step 4: Simplify right side
    13,790.21x = 103,962,517.21
  5. Step 5: Solve for x
    x = 103,962,517.21/13,790.21
  6. Step 6: Final answer
    x = 7,538.86

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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.