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Finding the Fourth Proportional to 24,957.90, 37,431.78 and 9,157.56

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Solution

The fourth proportional to 24,957.90, 37,431.78 and 9,157.56 is: 13,734.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,957.90 : 37,431.78 = 9,157.56 : x
  2. Step 2: Convert to fraction form
    24,957.90/37,431.78 = 9,157.56/x
  3. Step 3: Cross multiply
    24,957.90x = 37,431.78 × 9,157.56
  4. Step 4: Simplify right side
    24,957.90x = 342,783,771.26
  5. Step 5: Solve for x
    x = 342,783,771.26/24,957.90
  6. Step 6: Final answer
    x = 13,734.48

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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.