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Finding the Fourth Proportional to 17,369.68, 23,967.12 and 10,297.84

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Solution

The fourth proportional to 17,369.68, 23,967.12 and 10,297.84 is: 14,209.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,369.68 : 23,967.12 = 10,297.84 : x
  2. Step 2: Convert to fraction form
    17,369.68/23,967.12 = 10,297.84/x
  3. Step 3: Cross multiply
    17,369.68x = 23,967.12 × 10,297.84
  4. Step 4: Simplify right side
    17,369.68x = 246,809,567.02
  5. Step 5: Solve for x
    x = 246,809,567.02/17,369.68
  6. Step 6: Final answer
    x = 14,209.22

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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.