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Finding the Fourth Proportional to 13,478.72, 20,217.35 and 5,158.08

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Solution

The fourth proportional to 13,478.72, 20,217.35 and 5,158.08 is: 7,736.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.72 : 20,217.35 = 5,158.08 : x
  2. Step 2: Convert to fraction form
    13,478.72/20,217.35 = 5,158.08/x
  3. Step 3: Cross multiply
    13,478.72x = 20,217.35 × 5,158.08
  4. Step 4: Simplify right side
    13,478.72x = 104,282,682.90
  5. Step 5: Solve for x
    x = 104,282,682.90/13,478.72
  6. Step 6: Final answer
    x = 7,736.84

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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.