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Finding the Fourth Proportional to 23,757.57, 35,631.36 and 8,966.16

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Solution

The fourth proportional to 23,757.57, 35,631.36 and 8,966.16 is: 13,447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,757.57 : 35,631.36 = 8,966.16 : x
  2. Step 2: Convert to fraction form
    23,757.57/35,631.36 = 8,966.16/x
  3. Step 3: Cross multiply
    23,757.57x = 35,631.36 × 8,966.16
  4. Step 4: Simplify right side
    23,757.57x = 319,476,474.78
  5. Step 5: Solve for x
    x = 319,476,474.78/23,757.57
  6. Step 6: Final answer
    x = 13,447.35

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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.