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Finding the Fourth Proportional to 22,415.07, 33,625.04 and 8,381.82

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Solution

The fourth proportional to 22,415.07, 33,625.04 and 8,381.82 is: 12,573.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,415.07 : 33,625.04 = 8,381.82 : x
  2. Step 2: Convert to fraction form
    22,415.07/33,625.04 = 8,381.82/x
  3. Step 3: Cross multiply
    22,415.07x = 33,625.04 × 8,381.82
  4. Step 4: Simplify right side
    22,415.07x = 281,839,032.77
  5. Step 5: Solve for x
    x = 281,839,032.77/22,415.07
  6. Step 6: Final answer
    x = 12,573.64

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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.