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Finding the Fourth Proportional to 13,464.69, 18,582.27 and 7,800.96

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Solution

The fourth proportional to 13,464.69, 18,582.27 and 7,800.96 is: 10,765.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464.69 : 18,582.27 = 7,800.96 : x
  2. Step 2: Convert to fraction form
    13,464.69/18,582.27 = 7,800.96/x
  3. Step 3: Cross multiply
    13,464.69x = 18,582.27 × 7,800.96
  4. Step 4: Simplify right side
    13,464.69x = 144,959,544.98
  5. Step 5: Solve for x
    x = 144,959,544.98/13,464.69
  6. Step 6: Final answer
    x = 10,765.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.