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Finding the Fourth Proportional to 12,412.20, 18,583.20 and 9,643.80

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Solution

The fourth proportional to 12,412.20, 18,583.20 and 9,643.80 is: 14,438.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412.20 : 18,583.20 = 9,643.80 : x
  2. Step 2: Convert to fraction form
    12,412.20/18,583.20 = 9,643.80/x
  3. Step 3: Cross multiply
    12,412.20x = 18,583.20 × 9,643.80
  4. Step 4: Simplify right side
    12,412.20x = 179,212,664.16
  5. Step 5: Solve for x
    x = 179,212,664.16/12,412.20
  6. Step 6: Final answer
    x = 14,438.43

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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.