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Finding the Fourth Proportional to 13,956.16, 20,928.22 and 5,184.64

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Solution

The fourth proportional to 13,956.16, 20,928.22 and 5,184.64 is: 7,774.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,956.16 : 20,928.22 = 5,184.64 : x
  2. Step 2: Convert to fraction form
    13,956.16/20,928.22 = 5,184.64/x
  3. Step 3: Cross multiply
    13,956.16x = 20,928.22 × 5,184.64
  4. Step 4: Simplify right side
    13,956.16x = 108,505,286.54
  5. Step 5: Solve for x
    x = 108,505,286.54/13,956.16
  6. Step 6: Final answer
    x = 7,774.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.