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Finding the Fourth Proportional to 12,651.20, 18,980.64 and 5,725.76

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Solution

The fourth proportional to 12,651.20, 18,980.64 and 5,725.76 is: 8,590.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,651.20 : 18,980.64 = 5,725.76 : x
  2. Step 2: Convert to fraction form
    12,651.20/18,980.64 = 5,725.76/x
  3. Step 3: Cross multiply
    12,651.20x = 18,980.64 × 5,725.76
  4. Step 4: Simplify right side
    12,651.20x = 108,678,589.29
  5. Step 5: Solve for x
    x = 108,678,589.29/12,651.20
  6. Step 6: Final answer
    x = 8,590.38

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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.