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Finding the Fourth Proportional to 12,446.64, 18,669.96 and 7,189.65

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Solution

The fourth proportional to 12,446.64, 18,669.96 and 7,189.65 is: 10,784.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.64 : 18,669.96 = 7,189.65 : x
  2. Step 2: Convert to fraction form
    12,446.64/18,669.96 = 7,189.65/x
  3. Step 3: Cross multiply
    12,446.64x = 18,669.96 × 7,189.65
  4. Step 4: Simplify right side
    12,446.64x = 134,230,477.91
  5. Step 5: Solve for x
    x = 134,230,477.91/12,446.64
  6. Step 6: Final answer
    x = 10,784.48

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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.