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Finding the Fourth Proportional to 13,186.56, 19,782.72 and 6,612.96

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Solution

The fourth proportional to 13,186.56, 19,782.72 and 6,612.96 is: 9,920.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,186.56 : 19,782.72 = 6,612.96 : x
  2. Step 2: Convert to fraction form
    13,186.56/19,782.72 = 6,612.96/x
  3. Step 3: Cross multiply
    13,186.56x = 19,782.72 × 6,612.96
  4. Step 4: Simplify right side
    13,186.56x = 130,822,336.05
  5. Step 5: Solve for x
    x = 130,822,336.05/13,186.56
  6. Step 6: Final answer
    x = 9,920.88

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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.