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Finding the Fourth Proportional to 24,937.98, 37,420.74 and 10,157.30

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Solution

The fourth proportional to 24,937.98, 37,420.74 and 10,157.30 is: 15,241.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,937.98 : 37,420.74 = 10,157.30 : x
  2. Step 2: Convert to fraction form
    24,937.98/37,420.74 = 10,157.30/x
  3. Step 3: Cross multiply
    24,937.98x = 37,420.74 × 10,157.30
  4. Step 4: Simplify right side
    24,937.98x = 380,093,775.95
  5. Step 5: Solve for x
    x = 380,093,775.95/24,937.98
  6. Step 6: Final answer
    x = 15,241.56

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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.