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Finding the Fourth Proportional to 25,211.88, 37,830.58 and 10,431.40

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Solution

The fourth proportional to 25,211.88, 37,830.58 and 10,431.40 is: 15,652.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,211.88 : 37,830.58 = 10,431.40 : x
  2. Step 2: Convert to fraction form
    25,211.88/37,830.58 = 10,431.40/x
  3. Step 3: Cross multiply
    25,211.88x = 37,830.58 × 10,431.40
  4. Step 4: Simplify right side
    25,211.88x = 394,625,912.21
  5. Step 5: Solve for x
    x = 394,625,912.21/25,211.88
  6. Step 6: Final answer
    x = 15,652.38

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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.