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Finding the Fourth Proportional to 24,611.84, 36,919.92 and 7,972.28

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Solution

The fourth proportional to 24,611.84, 36,919.92 and 7,972.28 is: 11,959.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,611.84 : 36,919.92 = 7,972.28 : x
  2. Step 2: Convert to fraction form
    24,611.84/36,919.92 = 7,972.28/x
  3. Step 3: Cross multiply
    24,611.84x = 36,919.92 × 7,972.28
  4. Step 4: Simplify right side
    24,611.84x = 294,335,939.82
  5. Step 5: Solve for x
    x = 294,335,939.82/24,611.84
  6. Step 6: Final answer
    x = 11,959.12

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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.