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Finding the Fourth Proportional to 23,471.37, 35,207.04 and 9,431.40

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Solution

The fourth proportional to 23,471.37, 35,207.04 and 9,431.40 is: 14,147.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,471.37 : 35,207.04 = 9,431.40 : x
  2. Step 2: Convert to fraction form
    23,471.37/35,207.04 = 9,431.40/x
  3. Step 3: Cross multiply
    23,471.37x = 35,207.04 × 9,431.40
  4. Step 4: Simplify right side
    23,471.37x = 332,051,677.06
  5. Step 5: Solve for x
    x = 332,051,677.06/23,471.37
  6. Step 6: Final answer
    x = 14,147.09

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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.