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Finding the Fourth Proportional to 13,558.64, 20,339.80 and 4,199.42

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Solution

The fourth proportional to 13,558.64, 20,339.80 and 4,199.42 is: 6,299.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,558.64 : 20,339.80 = 4,199.42 : x
  2. Step 2: Convert to fraction form
    13,558.64/20,339.80 = 4,199.42/x
  3. Step 3: Cross multiply
    13,558.64x = 20,339.80 × 4,199.42
  4. Step 4: Simplify right side
    13,558.64x = 85,415,362.92
  5. Step 5: Solve for x
    x = 85,415,362.92/13,558.64
  6. Step 6: Final answer
    x = 6,299.70

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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.