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Finding the Fourth Proportional to 17,452, 24,083.64 and 9,494.25

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Solution

The fourth proportional to 17,452, 24,083.64 and 9,494.25 is: 13,102.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,452 : 24,083.64 = 9,494.25 : x
  2. Step 2: Convert to fraction form
    17,452/24,083.64 = 9,494.25/x
  3. Step 3: Cross multiply
    17,452x = 24,083.64 × 9,494.25
  4. Step 4: Simplify right side
    17,452x = 228,656,099.07
  5. Step 5: Solve for x
    x = 228,656,099.07/17,452
  6. Step 6: Final answer
    x = 13,102.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.