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Finding the Fourth Proportional to 12,824, 19,236.24 and 3,590.24

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Solution

The fourth proportional to 12,824, 19,236.24 and 3,590.24 is: 5,385.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,824 : 19,236.24 = 3,590.24 : x
  2. Step 2: Convert to fraction form
    12,824/19,236.24 = 3,590.24/x
  3. Step 3: Cross multiply
    12,824x = 19,236.24 × 3,590.24
  4. Step 4: Simplify right side
    12,824x = 69,062,718.30
  5. Step 5: Solve for x
    x = 69,062,718.30/12,824
  6. Step 6: Final answer
    x = 5,385.43

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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.