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Finding the Fourth Proportional to 23,546.31, 35,305.62 and 9,506.79

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Solution

The fourth proportional to 23,546.31, 35,305.62 and 9,506.79 is: 14,254.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,546.31 : 35,305.62 = 9,506.79 : x
  2. Step 2: Convert to fraction form
    23,546.31/35,305.62 = 9,506.79/x
  3. Step 3: Cross multiply
    23,546.31x = 35,305.62 × 9,506.79
  4. Step 4: Simplify right side
    23,546.31x = 335,643,115.16
  5. Step 5: Solve for x
    x = 335,643,115.16/23,546.31
  6. Step 6: Final answer
    x = 14,254.60

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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.