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Finding the Fourth Proportional to 23,694.30, 35,540.16 and 8,902.08

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Solution

The fourth proportional to 23,694.30, 35,540.16 and 8,902.08 is: 13,352.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,694.30 : 35,540.16 = 8,902.08 : x
  2. Step 2: Convert to fraction form
    23,694.30/35,540.16 = 8,902.08/x
  3. Step 3: Cross multiply
    23,694.30x = 35,540.16 × 8,902.08
  4. Step 4: Simplify right side
    23,694.30x = 316,381,347.53
  5. Step 5: Solve for x
    x = 316,381,347.53/23,694.30
  6. Step 6: Final answer
    x = 13,352.64

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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.