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Finding the Fourth Proportional to 13,582.26, 18,744.03 and 7,614.05

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Solution

The fourth proportional to 13,582.26, 18,744.03 and 7,614.05 is: 10,507.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,582.26 : 18,744.03 = 7,614.05 : x
  2. Step 2: Convert to fraction form
    13,582.26/18,744.03 = 7,614.05/x
  3. Step 3: Cross multiply
    13,582.26x = 18,744.03 × 7,614.05
  4. Step 4: Simplify right side
    13,582.26x = 142,717,981.62
  5. Step 5: Solve for x
    x = 142,717,981.62/13,582.26
  6. Step 6: Final answer
    x = 10,507.68

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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.