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Finding the Fourth Proportional to 14,516.15, 20,025.02 and 9,202.55

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Solution

The fourth proportional to 14,516.15, 20,025.02 and 9,202.55 is: 12,694.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,516.15 : 20,025.02 = 9,202.55 : x
  2. Step 2: Convert to fraction form
    14,516.15/20,025.02 = 9,202.55/x
  3. Step 3: Cross multiply
    14,516.15x = 20,025.02 × 9,202.55
  4. Step 4: Simplify right side
    14,516.15x = 184,281,170.68
  5. Step 5: Solve for x
    x = 184,281,170.68/14,516.15
  6. Step 6: Final answer
    x = 12,694.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.