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Finding the Fourth Proportional to 21,157.37, 31,757.40 and 9,316.41

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Solution

The fourth proportional to 21,157.37, 31,757.40 and 9,316.41 is: 13,984.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,157.37 : 31,757.40 = 9,316.41 : x
  2. Step 2: Convert to fraction form
    21,157.37/31,757.40 = 9,316.41/x
  3. Step 3: Cross multiply
    21,157.37x = 31,757.40 × 9,316.41
  4. Step 4: Simplify right side
    21,157.37x = 295,864,958.93
  5. Step 5: Solve for x
    x = 295,864,958.93/21,157.37
  6. Step 6: Final answer
    x = 13,984.01

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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.