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Finding the Fourth Proportional to 13,053.69, 18,005.90 and 7,744.75

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Solution

The fourth proportional to 13,053.69, 18,005.90 and 7,744.75 is: 10,682.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,053.69 : 18,005.90 = 7,744.75 : x
  2. Step 2: Convert to fraction form
    13,053.69/18,005.90 = 7,744.75/x
  3. Step 3: Cross multiply
    13,053.69x = 18,005.90 × 7,744.75
  4. Step 4: Simplify right side
    13,053.69x = 139,451,194.03
  5. Step 5: Solve for x
    x = 139,451,194.03/13,053.69
  6. Step 6: Final answer
    x = 10,682.89

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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.