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Finding the Fourth Proportional to 12,747, 19,128.06 and 5,822.04

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Solution

The fourth proportional to 12,747, 19,128.06 and 5,822.04 is: 8,736.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,747 : 19,128.06 = 5,822.04 : x
  2. Step 2: Convert to fraction form
    12,747/19,128.06 = 5,822.04/x
  3. Step 3: Cross multiply
    12,747x = 19,128.06 × 5,822.04
  4. Step 4: Simplify right side
    12,747x = 111,364,330.44
  5. Step 5: Solve for x
    x = 111,364,330.44/12,747
  6. Step 6: Final answer
    x = 8,736.51

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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.