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Finding the Fourth Proportional to 15,936.80, 23,902 and 15,146.48

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Solution

The fourth proportional to 15,936.80, 23,902 and 15,146.48 is: 22,716.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,936.80 : 23,902 = 15,146.48 : x
  2. Step 2: Convert to fraction form
    15,936.80/23,902 = 15,146.48/x
  3. Step 3: Cross multiply
    15,936.80x = 23,902 × 15,146.48
  4. Step 4: Simplify right side
    15,936.80x = 362,031,164.96
  5. Step 5: Solve for x
    x = 362,031,164.96/15,936.80
  6. Step 6: Final answer
    x = 22,716.68

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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.