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Finding the Fourth Proportional to 19,546.32, 29,324.95 and 7,692.78

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Solution

The fourth proportional to 19,546.32, 29,324.95 and 7,692.78 is: 11,541.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,546.32 : 29,324.95 = 7,692.78 : x
  2. Step 2: Convert to fraction form
    19,546.32/29,324.95 = 7,692.78/x
  3. Step 3: Cross multiply
    19,546.32x = 29,324.95 × 7,692.78
  4. Step 4: Simplify right side
    19,546.32x = 225,590,440.39
  5. Step 5: Solve for x
    x = 225,590,440.39/19,546.32
  6. Step 6: Final answer
    x = 11,541.32

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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.