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Finding the Fourth Proportional to 12,424, 18,636.30 and 4,631.28

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Solution

The fourth proportional to 12,424, 18,636.30 and 4,631.28 is: 6,947.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,424 : 18,636.30 = 4,631.28 : x
  2. Step 2: Convert to fraction form
    12,424/18,636.30 = 4,631.28/x
  3. Step 3: Cross multiply
    12,424x = 18,636.30 × 4,631.28
  4. Step 4: Simplify right side
    12,424x = 86,309,923.46
  5. Step 5: Solve for x
    x = 86,309,923.46/12,424
  6. Step 6: Final answer
    x = 6,947.03

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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.