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Finding the Fourth Proportional to 17,074.77, 25,614.81 and 7,214.10

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Solution

The fourth proportional to 17,074.77, 25,614.81 and 7,214.10 is: 10,822.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,074.77 : 25,614.81 = 7,214.10 : x
  2. Step 2: Convert to fraction form
    17,074.77/25,614.81 = 7,214.10/x
  3. Step 3: Cross multiply
    17,074.77x = 25,614.81 × 7,214.10
  4. Step 4: Simplify right side
    17,074.77x = 184,787,800.82
  5. Step 5: Solve for x
    x = 184,787,800.82/17,074.77
  6. Step 6: Final answer
    x = 10,822.27

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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.