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Finding the Fourth Proportional to 12,644.62, 18,969.37 and 4,852.82

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Solution

The fourth proportional to 12,644.62, 18,969.37 and 4,852.82 is: 7,280.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644.62 : 18,969.37 = 4,852.82 : x
  2. Step 2: Convert to fraction form
    12,644.62/18,969.37 = 4,852.82/x
  3. Step 3: Cross multiply
    12,644.62x = 18,969.37 × 4,852.82
  4. Step 4: Simplify right side
    12,644.62x = 92,054,973.41
  5. Step 5: Solve for x
    x = 92,054,973.41/12,644.62
  6. Step 6: Final answer
    x = 7,280.17

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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.