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Finding the Fourth Proportional to 24,975.21, 34,465.21 and 13,644.75

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Solution

The fourth proportional to 24,975.21, 34,465.21 and 13,644.75 is: 18,829.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,975.21 : 34,465.21 = 13,644.75 : x
  2. Step 2: Convert to fraction form
    24,975.21/34,465.21 = 13,644.75/x
  3. Step 3: Cross multiply
    24,975.21x = 34,465.21 × 13,644.75
  4. Step 4: Simplify right side
    24,975.21x = 470,269,174.15
  5. Step 5: Solve for x
    x = 470,269,174.15/24,975.21
  6. Step 6: Final answer
    x = 18,829.44

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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.