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Finding the Fourth Proportional to 13,186.96, 19,739.16 and 7,324.72

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Solution

The fourth proportional to 13,186.96, 19,739.16 and 7,324.72 is: 10,964.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,186.96 : 19,739.16 = 7,324.72 : x
  2. Step 2: Convert to fraction form
    13,186.96/19,739.16 = 7,324.72/x
  3. Step 3: Cross multiply
    13,186.96x = 19,739.16 × 7,324.72
  4. Step 4: Simplify right side
    13,186.96x = 144,583,820.04
  5. Step 5: Solve for x
    x = 144,583,820.04/13,186.96
  6. Step 6: Final answer
    x = 10,964.15

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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.