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Finding the Fourth Proportional to 23,972.36, 35,962.80 and 8,176.52

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Solution

The fourth proportional to 23,972.36, 35,962.80 and 8,176.52 is: 12,266.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,972.36 : 35,962.80 = 8,176.52 : x
  2. Step 2: Convert to fraction form
    23,972.36/35,962.80 = 8,176.52/x
  3. Step 3: Cross multiply
    23,972.36x = 35,962.80 × 8,176.52
  4. Step 4: Simplify right side
    23,972.36x = 294,050,553.46
  5. Step 5: Solve for x
    x = 294,050,553.46/23,972.36
  6. Step 6: Final answer
    x = 12,266.23

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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.