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Finding the Fourth Proportional to 25,083, 37,613.10 and 11,951.24

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Solution

The fourth proportional to 25,083, 37,613.10 and 11,951.24 is: 17,921.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,083 : 37,613.10 = 11,951.24 : x
  2. Step 2: Convert to fraction form
    25,083/37,613.10 = 11,951.24/x
  3. Step 3: Cross multiply
    25,083x = 37,613.10 × 11,951.24
  4. Step 4: Simplify right side
    25,083x = 449,523,185.24
  5. Step 5: Solve for x
    x = 449,523,185.24/25,083
  6. Step 6: Final answer
    x = 17,921.43

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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.