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Finding the Fourth Proportional to 13,478.08, 20,197.68 and 5,676.16

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Solution

The fourth proportional to 13,478.08, 20,197.68 and 5,676.16 is: 8,506.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.08 : 20,197.68 = 5,676.16 : x
  2. Step 2: Convert to fraction form
    13,478.08/20,197.68 = 5,676.16/x
  3. Step 3: Cross multiply
    13,478.08x = 20,197.68 × 5,676.16
  4. Step 4: Simplify right side
    13,478.08x = 114,645,263.31
  5. Step 5: Solve for x
    x = 114,645,263.31/13,478.08
  6. Step 6: Final answer
    x = 8,506.05

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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.