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Finding the Fourth Proportional to 13,648.56, 20,464.53 and 5,318.83

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Solution

The fourth proportional to 13,648.56, 20,464.53 and 5,318.83 is: 7,975.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.56 : 20,464.53 = 5,318.83 : x
  2. Step 2: Convert to fraction form
    13,648.56/20,464.53 = 5,318.83/x
  3. Step 3: Cross multiply
    13,648.56x = 20,464.53 × 5,318.83
  4. Step 4: Simplify right side
    13,648.56x = 108,847,356.10
  5. Step 5: Solve for x
    x = 108,847,356.10/13,648.56
  6. Step 6: Final answer
    x = 7,975.01

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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.