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Finding the Fourth Proportional to 12,172.60, 18,237.30 and 9,969.40

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Solution

The fourth proportional to 12,172.60, 18,237.30 and 9,969.40 is: 14,936.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,172.60 : 18,237.30 = 9,969.40 : x
  2. Step 2: Convert to fraction form
    12,172.60/18,237.30 = 9,969.40/x
  3. Step 3: Cross multiply
    12,172.60x = 18,237.30 × 9,969.40
  4. Step 4: Simplify right side
    12,172.60x = 181,814,938.62
  5. Step 5: Solve for x
    x = 181,814,938.62/12,172.60
  6. Step 6: Final answer
    x = 14,936.41

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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.