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Finding the Fourth Proportional to 23,157.96, 34,708.42 and 13,171.08

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Solution

The fourth proportional to 23,157.96, 34,708.42 and 13,171.08 is: 19,740.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,157.96 : 34,708.42 = 13,171.08 : x
  2. Step 2: Convert to fraction form
    23,157.96/34,708.42 = 13,171.08/x
  3. Step 3: Cross multiply
    23,157.96x = 34,708.42 × 13,171.08
  4. Step 4: Simplify right side
    23,157.96x = 457,147,376.49
  5. Step 5: Solve for x
    x = 457,147,376.49/23,157.96
  6. Step 6: Final answer
    x = 19,740.40

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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.